7th Class Mental Ability Perimeter and Area Question Bank

done Perimeter and Area Total Questions - 40

• question_answer1)
  The area of a circle is A. Find its circumference.
  A)
   \[2\pi A\]                     done clear
  B)
  \[2\sqrt{\pi A}\]           done clear
  C)
        \[2\sqrt{\frac{A}{\pi }}\]       done clear
  D)
       \[2\sqrt{\frac{\pi }{A}}\]                    done clear
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• question_answer2)
  Which expression can be used to represent the perimeter or the given rectangle ABCD?
  A)
   \[9a+7b\]       done clear
  B)
       \[18a+2b\]      done clear
  C)
       \[20a-2b\]        done clear
  D)
       \[18a+b\]                    done clear
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• question_answer3)
  The figure given consists of two squares of sides 8 cm and 6 cm. What is the perimeter of the figure?
  A)
   44 cm                         done clear
  B)
   42 cm             done clear
  C)
        50 cm             done clear
  D)
        58 cm             done clear
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• question_answer4)
  The area of an equilateral triangle is \[64\sqrt{3}\,sq.cm.\]Find is perimeter.
  A)
   32 cm                         done clear
  B)
   48 cm             done clear
  C)
        64 cm             done clear
  D)
        72 cm             done clear
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• question_answer5)
  If the area of a semi-circular plot is\[11088\,{{m}^{2}},\] what is its perimeter? \[\left( \text{TAke}\,\pi =\frac{22}{7}. \right)\]
  A)
   264 m                         done clear
  B)
   432 m                         done clear
  C)
   348 m             done clear
  D)
        452 m done clear
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• question_answer6)
  A tub weighing B kg when it is empty contains 6b kg of sawdust. If 4b kg of sawdust is used, what is the weight of the tub along with the remaining sawdust?
  A)
   (B + 2b) kg                done clear
  B)
   (B  - 2b) kg     done clear
  C)
        (B x 2b) kg      done clear
  D)
        2(B + b) kg                done clear
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• question_answer7)
  Look at the figure given. Find the perimeter of the figure.
  A)
   31 cm                         done clear
  B)
   38 cm             done clear
  C)
   32 cm             done clear
  D)
        30 cm             done clear
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• question_answer8)
  Raju's office room measures 6 feet by 10 feet. His office is changed room that is 2 feet longer and 2 feet wider. How much more area will Raju have in his new office?
  A)
   4 sq. feet                     done clear
  B)
   36 sq. feet       done clear
  C)
        60 sq. feet         done clear
  D)
        96 sq. feet                   done clear
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• question_answer9)
  If the ratio of areas of two circles is 16: 25, find the ratio of their circumferences.
  A)
   25: 16                         done clear
  B)
   5:4      done clear
  C)
   4 : 5                done clear
  D)
        3 : 5                done clear
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• question_answer10)
  Find the perimeter of a semicircle, if its radius is 2.1 m.
  A)
   7.7 m                          done clear
  B)
   10.8 m            done clear
  C)
        2.8 m                 done clear
  D)
        8.4 m              done clear
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• question_answer11)
  ABCD is a rectangle of length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. Find the area of the shaded region.
  A)
  \[375{{m}^{2}}\]                 done clear
  B)
  \[~375\text{ }c{{m}^{2}}\] done clear
  C)
       \[~475\text{ }{{m}^{2}}\]              done clear
  D)
       None               done clear
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• question_answer12)
  In the given parallelogram, triangle A has an area of 37 sq. cm. What is the area, of the parallelogram?
  A)
   18.5 sq. cm                 done clear
  B)
   37 sq. cm        done clear
  C)
        55.5 sq. cm       done clear
  D)
        74 sq. cm                    done clear
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• question_answer13)
  If the radius of a circle is doubled by what percent is its area increased?
  A)
   300%                          done clear
  B)
   200%  done clear
  C)
        150%               done clear
  D)
       50%                done clear
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• question_answer14)
  The rectangle shown in the figure has length 15 cm and perimeter "P" cm. Which equation could be used to find the width (w) of the rectangle?
  A)
  \[P=15+\frac{w}{2}\]          done clear
  B)
  \[P=15-w\]      done clear
  C)
       \[P=30+2w\]       done clear
  D)
      \[P=30-2w\]                done clear
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• question_answer15)
  In the given figure, ABCDEF is a rectangle. If AC = 20 cm and AF = 5 cm, find the area of the shaded regions.
  A)
   25 sq. cm done clear
  B)
   50 sq. cm done clear
  C)
   75 sq. cm done clear
  D)
   cannot be determined until the position of B or E are known done clear
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• question_answer16)
  The line segments composing both the given shapes are all congruent. The perimeter of the triangle is 36 units. What is the perimeter of the square?
  A)
   48 units                       done clear
  B)
   24 units           done clear
  C)
        36 units           done clear
  D)
        40 units                       done clear
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• question_answer17)
  A rectangular piece of window screen is 1.75 feet. The packaging label says the screen is 42 sq. feet, what is the width of the screen?
  A)
   24.0 feet                      done clear
  B)
   43.75 feet        done clear
  C)
        73.5 feet          done clear
  D)
        101.0 feet                    done clear
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• question_answer18)
  The area of a rectangular park is\[~2160\text{ }{{m}^{2}}.\] The length and breadth of the park are in the ratio 5:3. Find the cost of fencing the park at Rs. 3.50 per metre.
  A)
   Rs 585                        done clear
  B)
   Rs 687            done clear
  C)
        Rs 690            done clear
  D)
        Rs 672                        done clear
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• question_answer19)
  A path of width 4 ms runs around and inside a square plot of side 33 m. Find the cost of levelling the path at the rate of Rs.1.50 per sq. m.
  A)
   Rs 525                        done clear
  B)
   Rs 728            done clear
  C)
        Rs 960            done clear
  D)
        Rs 696                        done clear
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• question_answer20)
  A floral design on the floor of a building consists of 1000 tiles. Each tile is in the shape of a parallelogram of altitude 4 cm and base 6 cm. Find the cost of polishing the design of the rate of 90 paise per \[d{{m}^{2}}.\]
  A)
   Rs 324                        done clear
  B)
   Rs 216            done clear
  C)
        Rs 340            done clear
  D)
        Rs 440                        done clear
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• question_answer21)
  A wire bent into a square has an area of 82 sq. cm. If it is bent into a semicircle, what is its area?
  A)
  \[70\text{ }c{{m}^{2}}\]                  done clear
  B)
  \[77\text{ }c{{m}^{2}}\]     done clear
  C)
       \[72\text{ }c{{m}^{2}}\]      done clear
  D)
       \[64\text{ }c{{m}^{2}}\]                  done clear
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• question_answer22)
  A wire bent into a circle of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6: 5. Find the smaller side of the rectangle.
  A)
   56 cm                         done clear
  B)
   48 cm             done clear
  C)
        72 cm             done clear
  D)
        60 cm             done clear
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• question_answer23)
  The radius of a wheel is 0.25 m. How many revolutions will it make to travel a distance of 11 km?
  A)
   8000                           done clear
  B)
   9000               done clear
  C)
   7000               done clear
  D)
        6000               done clear
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• question_answer24)
  If the perimeter of an isosceles right triangle is \[(6+3\sqrt{2})m,\]find the area of the triangle.
  A)
  \[3.2\text{ }{{m}^{2}}\]      done clear
  B)
       \[4.8\text{ }{{m}^{2}}\]     done clear
  C)
       \[~4.5\text{ }{{m}^{2}}\]               done clear
  D)
       \[6.4\text{ }{{m}^{2}}\]                  done clear
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• question_answer25)
  The dimensions of a room are 11.2 m by 9 m. The floor of the room is to be covered by marble tiles, each measuring 24 cm. Find the total number of tiles required.
  A)
   1750                           done clear
  B)
   2000               done clear
  C)
        1425               done clear
  D)
        1600               done clear
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• question_answer26)
  There are 4 semi-circular gardens on each side of a square-shaped pond of side 21 m. Find the cost of fencing the entire plot at the rate of Rs. 12.50 per metre.
  A)
   Rs 1250                      done clear
  B)
   Rs 1650          done clear
  C)
   Rs 1050          done clear
  D)
        Rs 1550                      done clear
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• question_answer27)
  The figure given is the top view of a glass holder with a glass in it. What is the perimeter of the glass holder?
  A)
   18 feet                         done clear
  B)
   26 feet             done clear
  C)
        24 feet             done clear
  D)
        30 feet done clear
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• question_answer28)
  The deck of a ship is as shown in the figure. If the deck has to be painted, how many litres of paint is needed?
  A)
  \[7000\,l\]                     done clear
  B)
  \[6000\,l\]         done clear
  C)
       \[4800\,l\]         done clear
  D)
       \[56000\,l\]       done clear
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• question_answer29)
  A rectangular white board in a class room is twice as long as it is wide. The area of the board is 32 sq. feet.
  A)
   6 feet                           done clear
  B)
   4 feet               done clear
  C)
        3 feet               done clear
  D)
        8 feet               done clear
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• question_answer30)
  Dinakar had a new tape roll of diameter 6 inches. After he used some of the tape, the diameter of the roll had decreased by \[\frac{1}{2}\] inch. Which of the following is closest to the circumference of the roll of tape after decrease?
  A)
   5.5 inches                   done clear
  B)
   8. 65 inches done clear
  C)
                    17.27 inches     done clear
  D)
                    18.84 inches done clear
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• question_answer31)
  Observe the laptop in the figure. What is the area of the laptop screen?
  A)
   22 sq. inches               done clear
  B)
   44 sq. inches done clear
  C)
                    120 sq. inches  done clear
  D)
                    144 sq. inches done clear
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• question_answer32)
  Manish bought a rectangular wooden picture frame. It has a perimeter of 130 inches and a width of 30 inches. What is the height of the picture frame?
  A)
   35 inches                    done clear
  B)
   32 inches        done clear
  C)
        40 inches          done clear
  D)
        100 inches      done clear
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• question_answer33)
  In the figure given, PQRS and TURV are rectangles. The lengths shown in the figure are in centimetres. If the perimeter of the unshaded rectangle TURV is 32 cm, find the value of\[x.\]
  A)
   2 cm                           done clear
  B)
   4 cm               done clear
  C)
        6 cm               done clear
  D)
        8 cm               done clear
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• question_answer34)
  In the given figure, area of shaded square is A. All the horizontal and vertical lines meet at 90°. All horizontal lines are of equal length.    What is the area of the given figure?
  A)
   13 A                            done clear
  B)
  \[12\,{{A}^{2}}\]                 done clear
  C)
  \[24\,{{A}^{2}}\]     done clear
  D)
       \[13\,{{A}^{2}}\]     done clear
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• question_answer35)
  The figures show two play grounds in a school. The length of playground B is thrice that of playground A. What is the perimeter (in m) of playground B?
  A)
   40 m                           done clear
  B)
   60 m               done clear
  C)
        50 m               done clear
  D)
        30 m               done clear
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• question_answer36)
  When asked to design a four sided flower garden with a perimeter of 24 feet, Jagdeesh made a 9 foot long by 3 foot wide rectangle. Mohan made a square that was 6 feet on a side. How much larger is the area of Mohan's garden that Jagdeesh's?
  A)
   6 sq. ft                         done clear
  B)
   9 sq. ft done clear
  C)
        12 sq. ft            done clear
  D)
                    27 sq. ft                       done clear
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• question_answer37)
  Amulya saw the picture of 4 squares in her book. Which of the given squares has an area equal to its perimeter?
  A)
   Z                                 done clear
  B)
   W                    done clear
  C)
        X        done clear
  D)
        Y done clear
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• question_answer38)
  Madhu voluntered to fertilize the grass in a playground in his neighbourhood. The shaded part in the figure shows the grass - covered portion. What is the area of the grass - covered portion of the playground?
  A)
   2140 sq. feet               done clear
  B)
   4580 sq. feet done clear
  C)
        6000 sq. feet     done clear
  D)
          420 sq. feet     done clear
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• question_answer39)
  A bulletin board in a class is 212 cm wide and 243 cm high. What is the perimeter of the bulletin board?                 
  A)
   980 cm          done clear
  B)
   900 cm           done clear
  C)
        1 km                 done clear
  D)
        910 cm done clear
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• question_answer40)
  Monica wanted to apply wallpaper on one wall of her living room. A roll of wallpaper covers approximetely 30 sq. feet. What is the minimum number of roots she needs to cover the entire wall excluding the window?
  A)
   2                     done clear
  B)
   5                     done clear
  C)
   6                     done clear
  D)
   7 done clear
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