8th Class Mental Ability Mensuration Question Bank

done Perimeter and Area Total Questions - 35

• question_answer1)
  Every side of a square of area 36 cm2 is separated into 3 equal parts as shown. What is the area of the unshaded part?
  A)
  \[20\text{ }c{{m}^{2}}\] done clear
  B)
  \[16\text{ }c{{m}^{2}}\] done clear
  C)
  \[~8\text{ }c{{m}^{2}}\] done clear
  D)
  \[~28\text{ }c{{m}^{2}}\] done clear
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• question_answer2)
  Find the area of triangle ABC in which AB = 5 cm, BC = 6 cm and AC =7 cm.
  A)
  \[~14.30\text{ }c{{m}^{2}}\] done clear
  B)
  \[~14.40\text{ }c{{m}^{2}}\] done clear
  C)
  \[~14.70\text{ }c{{m}^{2}}\] done clear
  D)
  \[~14.60\text{ }c{{m}^{2}}\] done clear
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• question_answer3)
  If a wire is bent into the shape of a square, its area is 81 sq. cm. When the wire is bent into a semi-circular shape, 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_answer4)
  A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio 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_answer5)
  The radius of a wheel is 0.25 m. How many revolutions does 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_answer6)
  If the perimeter of an isosceles right triangle is \[(6+3\sqrt{2})m,\] find its area.
  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_answer7)
  The dimensions of a room are 11.2 m by 9 m. The floor of the room is to be covered with 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_answer8)
  What is the perimeter of the following figure?
  A)
  72m done clear
  B)
  76 m done clear
  C)
  78 m done clear
  D)
  80 m done clear
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• question_answer9)
  A rectangular field is 120 m in length and 60 m in breadth. Two paths of 10 m width each and parallel to the length and breadth are laid in its centre. What is the total area of the path?
  A)
  1.7 area done clear
  B)
  \[1700\,{{m}^{2}}\] done clear
  C)
  \[1.7\,m{{m}^{2}}\] done clear
  D)
  \[1800\,{{m}^{2}}\] done clear
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• question_answer10)
  A square with a side \[''x''\] is inside a square with a side of 4, as shown. Which expression represents the area of the shaded region in terms of\[''x''\]?
  A)
  \[16+{{x}^{2}}\] done clear
  B)
  \[16-{{x}^{2}}\] done clear
  C)
  \[16-2x\] done clear
  D)
  \[16-4x\] done clear
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• question_answer11)
  If ABCD is a rectangle having length 30 cm and breadth 20 cm, E, F and G are midpoints of AB, CD and AD respectively, identify the area of the shaded part.
  A)
  \[400\,c{{m}^{2}}\] done clear
  B)
  \[450\,c{{m}^{2}}\] done clear
  C)
  \[375\,c{{m}^{2}}\] done clear
  D)
  \[500\,c{{m}^{2}}\] done clear
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• question_answer12)
  What is the difference of circumferences of the circles shown?
  A)
  22 cm done clear
  B)
  20 cm done clear
  C)
  24 cm done clear
  D)
  26 cm done clear
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• question_answer13)
  A wall hanging is in the shape given in the figure. Find its perimeter.
  A)
  176 cm done clear
  B)
  146 cm done clear
  C)
  44 cm done clear
  D)
  88 cm done clear
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• question_answer14)
  The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of the shorter side is 24 cm, what is the measure of its corresponding altitude?
  A)
  36 cm done clear
  B)
  48 cm done clear
  C)
  54 cm done clear
  D)
  24 cm done clear
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• question_answer15)
  The difference between the length and breadth of a rectangle is 23 m. If the perimeter is 206 m, what is its area?
  A)
  \[~1520\,{{m}^{2}}\] done clear
  B)
  \[~2520\,{{m}^{2}}\] done clear
  C)
  \[~2420\text{ }{{m}^{2}}\] done clear
  D)
  \[~2250\text{ }{{m}^{2}}\] done clear
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• question_answer16)
  The length and breadth of a rectangular hall in a model are 0.4 m and 30 cm respectively. What is the distance between the opposite corners of a wall in the model?
  A)
  34.16 m done clear
  B)
  50 m done clear
  C)
  34.16 cm done clear
  D)
  50 cm done clear
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• question_answer17)
  ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, Rand S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?
  A)
  \[375\text{ }{{m}^{2}}\] done clear
  B)
  \[~375\text{ }c{{m}^{2}}\] done clear
  C)
  \[~475\text{ }{{m}^{2}}\] done clear
  D)
  \[425\text{ }c{{m}^{2}}\] done clear
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• question_answer18)
  What is the area of the shaded part in the figure, given that the side of square ABCD is 90 m and the side of square PQRS is 100 m?
  A)
  1900 sq m done clear
  B)
  2000 sq m done clear
  C)
  1000 sq m done clear
  D)
  2500 sq m done clear
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• question_answer19)
  The measurements in the given figure are in cm. What is its area?
  A)
  \[~200\text{ }c{{m}^{2}}\] done clear
  B)
  \[~186\text{ }c{{m}^{2}}\] done clear
  C)
  \[~210\text{ }c{{m}^{2}}\] done clear
  D)
  \[~196\text{ }c{{m}^{2}}\] done clear
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• question_answer20)
  How many kilometres does a bicycle wheel of radius 30 cm cover in 70 revolutions?
  A)
  0.0132 km done clear
  B)
  1.32 km done clear
  C)
  13.2 km done clear
  D)
  0.132 km done clear
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• question_answer21)
  Find the difference between the perimeters of the square and circle in the figure given.
  A)
  57.2 cm done clear
  B)
  15.6 cm done clear
  C)
  72.8 cm done clear
  D)
  52.7 cm done clear
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• question_answer22)
  The perimeter of rectangular piece of paper is 56 cm. If the length is three times its width, what is its width?
  A)
  8 cm done clear
  B)
  56 cm done clear
  C)
  7 cm done clear
  D)
  21 cm done clear
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• question_answer23)
  The floor of a room measures 12 m by 10 m. A carpet is placed on the floor, from wall to wall. What is the area of the carpet?
  A)
  \[120\text{ }{{m}^{2}}\] done clear
  B)
  1200 m done clear
  C)
  120 m done clear
  D)
  \[1200\text{ }{{m}^{2}}\] done clear
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• question_answer24)
  A farmer had a rectangular plot measuring 500 m by 100 m. If he fences the plot 4 times with barbed wire, what length of wire was used?
  A)
  4800 m done clear
  B)
  1000 m done clear
  C)
  300 m done clear
  D)
  1200 m done clear
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• question_answer25)
  If the ratio of circumferences of two circles is 4 : 9, what is the ratio of their areas?
  A)
  9:4 done clear
  B)
  16:81 done clear
  C)
  4:9 done clear
  D)
  2 : 3 done clear
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• question_answer26)
  PSUV is a rectangle and RSTX is a square. What is the perimeter of the shaded region?
  A)
  18 cm done clear
  B)
  42 cm done clear
  C)
  26 cm done clear
  D)
  38 cm done clear
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• question_answer27)
  A PQR is an equilateral triangle and PRST is a square. Find the perimeter of the whole figure given that the area of PRST is
  A)
  24 cm done clear
  B)
  18 cm done clear
  C)
  15 cm done clear
  D)
  25 cm done clear
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• question_answer28)
  The given figure consists of three equilateral triangles and a square, with each side measuring 6 cm. Identify the perimeter of the whole figure.
  A)
  42 cm done clear
  B)
  36 cm done clear
  C)
  24cm done clear
  D)
  18cm done clear
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• question_answer29)
  PQRS is a trapezium. Find the area of the shaded region.
  A)
  \[24\text{ }c{{m}^{2}}\] done clear
  B)
  \[~16\text{ }c{{m}^{2}}\] done clear
  C)
  \[~22\text{ }c{{m}^{2}}\] done clear
  D)
  \[~12\text{ }c{{m}^{2}}\] done clear
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• question_answer30)
  The given figure shows a triangle. Identify the area of the shaded region.
  A)
  \[~36\text{ }c{{m}^{2}}\] done clear
  B)
  \[~24\text{ }c{{m}^{2}}\] done clear
  C)
  \[~52\text{ }c{{m}^{2}}\] done clear
  D)
  \[~69\text{ }c{{m}^{2}}\] done clear
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• question_answer31)
  The given figure is made up of a parallelogram, a right-angled triangle and a trapezium. Identify the area of th6 whole figure.
  A)
  \[52\,c{{m}^{2}}\] done clear
  B)
  \[~32\,c{{m}^{2}}\] done clear
  C)
  \[44\text{ }c{{m}^{2}}\] done clear
  D)
  \[~48\text{ }c{{m}^{2}}\] done clear
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• question_answer32)
  PQRS is a trapezium. Find the area of the shaded region.
  A)
  \[14\,c{{m}^{2}}\] done clear
  B)
  \[12\,c{{m}^{2}}\] done clear
  C)
  \[24\,c{{m}^{2}}\] done clear
  D)
  \[16\,c{{m}^{2}}\] done clear
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• question_answer33)
  RSTU is a square, PQRS is a trapezium and T is the midpoint of SP. Identify the area of the shaded region.
  A)
  \[24\,c{{m}^{2}}\] done clear
  B)
  \[56\,c{{m}^{2}}\] done clear
  C)
  \[28\text{ }c{{m}^{2}}\] done clear
  D)
  \[48\text{ }c{{m}^{2}}\] done clear
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• question_answer34)
  PQRS is a rectangle. Find the area of the shaded region.
  A)
  \[~12\,c{{m}^{2}}\] done clear
  B)
  \[~16\,c{{m}^{2}}\] done clear
  C)
  \[~18\,c{{m}^{2}}\] done clear
  D)
  \[~24\text{ }c{{m}^{2}}\] done clear
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• question_answer35)
  PQRS is a trapezium. Identify the area of the shaded region.
  A)
  \[~15\text{ }c{{m}^{2}}\] done clear
  B)
  \[~17c{{m}^{2}}\] done clear
  C)
  \[14\,c{{m}^{2}}\] done clear
  D)
  \[~22\text{ }c{{m}^{2}}\] done clear
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