7th Class Mathematics Mensuration Question Bank

done Mensuration (Perimeter & Area) Total Questions - 40

• question_answer1)
  If a boy runs once around a football field of length and width equal to 30 and 20 metre respectively how many metre has he run?
  A)
   \[50\,m\]                      done clear
  B)
   \[100\,m\]         done clear
  C)
   \[600\,m\]                    done clear
  D)
   \[80\,m\] done clear
  View Solution play_arrow

• question_answer2)
  Look at the trapezium below: Find area of trapezium?
  A)
   \[100\,sq.m\]                           done clear
  B)
   \[201\,sq.m\]  done clear
  C)
   \[150\,sq.m\]               done clear
  D)
   \[75\,sq.m\] done clear
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• question_answer3)
  In the figure below PQRS is a parallelogram. Side \[QR=10\text{ }cm\] and a perpendicular \[AB=10\text{ }cm\] as shown above. Find area of parallelogram
  A)
   \[100\text{ }sq.\text{ }cm.\]   done clear
  B)
   \[50\text{ }sq.\text{ }cm.\]      done clear
  C)
   \[75\text{ }sq.\text{ }cm.\]                 done clear
  D)
   \[25\text{ }sq.\text{ }cm.\] done clear
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• question_answer4)
  The circumference of a circle is 22 m. What is its area?
  A)
   \[1018.5\text{ }{{m}^{2}}\]           done clear
  B)
   \[12.25\text{ }{{m}^{2}}\]       done clear
  C)
   \[38.5\text{ }{{m}^{2}}\]           done clear
  D)
   \[\text{40 }{{m}^{2}}\] done clear
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• question_answer5)
  If the area of a circle is\[154\text{ }{{m}^{2}}\]. Find its diameter.
  A)
   \[14\,m\]     done clear
  B)
   \[220\,m\]         done clear
  C)
   \[22\,m\]                      done clear
  D)
   \[104\,m\] done clear
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• question_answer6)
  The circular grass lawn of radius 28 m has a path of width 7 m around it on the outside. What is the area of the path?
  A)
   \[1300\text{ }sq.\text{ }m.\]               done clear
  B)
   \[1447\text{ }sq.\text{ }m.\]     done clear
  C)
   \[1781\text{ }sq.\text{ }m.\]               done clear
  D)
   \[1386\text{ }sq.\text{ }m.\] done clear
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• question_answer7)
  The difference between the circumference and radius of a circle is 74 m. What is the circumference of the circle.
  A)
   \[56\text{ }m\]                        done clear
  B)
   \[\text{74 }m\]          done clear
  C)
   \[\text{110 }m\]                      done clear
  D)
   \[\text{88 }m\] done clear
  View Solution play_arrow

• question_answer8)
  A wire bent in the form of a circle of radius 42 cm is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?
  A)
   \[11:12\]                      done clear
  B)
   \[21:33\] done clear
  C)
   \[22:33\]                      done clear
  D)
   \[14:11\] done clear
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• question_answer9)
  A How many plants (approximately) will be there in a circular bed whose outer edge measures 30 cm allowing \[4\text{ }c{{m}^{2}}\]for each plant?
  A)
   \[18\]       done clear
  B)
   \[750\]           done clear
  C)
   24                   done clear
  D)
   120 done clear
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• question_answer10)
  It. If the area of a circle is A, radius is r and circumference is C, which of the following is true?
  A)
   \[rC=2A\]       done clear
  B)
   \[\frac{C}{A}=\frac{r}{2}\] done clear
  C)
   \[AC=\frac{{{r}^{2}}}{2}\]                      done clear
  D)
   \[\frac{A}{r}=C\] done clear
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• question_answer11)
  When the circumference and area of a circle are numerically equal, what is the diameter numerically equal to?
  A)
   Area                            done clear
  B)
   Circumference  done clear
  C)
   2n                               done clear
  D)
   4 done clear
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• question_answer12)
  In the following figure, ABCD is a parallelogram. \[DL\bot AB\] and \[AB=13=AD\] Also, area\[(11\,gm)=156\,c{{m}^{2}}.\] Find AL.
  A)
   5 cm                           done clear
  B)
   6 cm           done clear
  C)
   7 cm              done clear
  D)
   8 cm done clear
  View Solution play_arrow

• question_answer13)
  If the ratio of circumference of two circle 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_answer14)
  Area of a triangle whose sides are 20 cm, 30 cm and 30 cm is                       
  A)
   \[10\sqrt{2}\,c{{m}^{2}}\]             done clear
  B)
   \[200\sqrt{2}\,c{{m}^{2}}\]     done clear
  C)
   \[100\,c{{m}^{2}}\]            done clear
  D)
   \[200\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer15)
  The cost of cutting grass from a triangular field at Rs. 45 per \[100\text{ }{{m}^{2}}\]is Rs. 900. Fine its height if twice the base of the triangle is 5 times the height.                        
  A)
   \[30\,m\]                      done clear
  B)
   \[40\,m\]        done clear
  C)
   \[50\,m\]                      done clear
  D)
   \[10\,m\]       done clear
  View Solution play_arrow

• question_answer16)
  If the sides of an equilateral is 'a', what is the area?
  A)
   \[\frac{3}{4}{{a}^{2}}\]                            done clear
  B)
   \[\frac{\sqrt{3}}{4}{{a}^{2}}\]         done clear
  C)
   \[\frac{3\sqrt{3}}{4}{{a}^{2}}\]               done clear
  D)
   \[\frac{3\sqrt{3}}{2}{{a}^{2}}\] done clear
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• question_answer17)
  The area of an equilateral triangle is \[100\sqrt{3}{{m}^{2}}.\] Find the perimeter of this triangle.
  A)
   \[27.5\,m\]                               done clear
  B)
   \[4.5m\]         done clear
  C)
   \[60m\]         done clear
  D)
   \[10m\] done clear
  View Solution play_arrow

• question_answer18)
  How many tiles \[40\text{ }cm\times 40\text{ }cm\] each will be required to pave a footpath\[~1\text{ }m\] wide carried round the outside of a plot \[1800\text{ }cm\times 28\text{ }m\]?
  A)
   600                 done clear
  B)
   5,2000         done clear
  C)
   9,900                          done clear
  D)
   5,250 done clear
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• question_answer19)
  The base of a parallelogram is twice its height. If the area of parallelogram is \[162\text{ }c{{m}^{2}},\] then find the base.
  A)
   \[9\text{ }cm\]      done clear
  B)
                      \[~18\text{ }cm\]   done clear
  C)
   \[32\text{ }cm\]                      done clear
  D)
   \[50\text{ }cm\] done clear
  View Solution play_arrow

• question_answer20)
  Semi circular lawns are attached to the edges of a rectangular field measuring\[42\text{ }m\times 35\text{ }m\]. Find the area of the total field.
  A)
   \[3895.6\,{{m}^{2}}\]         done clear
  B)
   \[3818.5\,{{m}^{2}}\]      done clear
  C)
   \[3735.6\,{{m}^{2}}\]                     done clear
  D)
   \[3899.9\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer21)
  A field in shape of a rhombus is shown as below: Find its area:
  A)
   \[300\text{ }sq.\text{ }m.\]    done clear
  B)
   \[150\text{ }sq.\text{ }m.\]      done clear
  C)
   \[400\text{ }sq.\text{ }m.\]                 done clear
  D)
   \[\frac{300\times \sqrt{3}}{2}\text{ }sq.\text{ }m.\] done clear
  View Solution play_arrow

• question_answer22)
  Diagonals of a rhombus intersect each other at an angle of
  A)
   \[45{}^\circ \]                       done clear
  B)
   \[60{}^\circ \]            done clear
  C)
   \[90{}^\circ \]          done clear
  D)
   \[120{}^\circ \] done clear
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• question_answer23)
  A rhombus ABCD is inscribed in a rectangle PQRS. If area of rhombus is \[{{\Delta }_{1}}\] & that of rectangle is \[{{\Delta }_{2}},\]then
  A)
   \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=1\]                  done clear
  B)
   \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{1}{2}\] done clear
  C)
          \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}=\frac{2}{1}\]             done clear
  D)
   \[\frac{{{\Delta }_{1}}}{{{\Delta }_{2}}}={}^{1}/{}_{3}\] done clear
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• question_answer24)
  One side of a parallelogram is \[240\text{ }dm\] and its area is\[576\text{ }{{m}^{2}}\]. Find the corresponding altitude.
  A)
   \[24\,m\] done clear
  B)
   \[24cm\] done clear
  C)
   \[24\,dm\]                    done clear
  D)
   \[24\,dm\] done clear
  View Solution play_arrow

• question_answer25)
  The length and the breadth of, IIT Playground are 400 m and 250 m respectively. What is the cost of the land at Rs. 500 per square metre?                  
  A)
   Rs.10 lakhs                 done clear
  B)
   Rs.50 crores done clear
  C)
   Rs.5 crores          done clear
  D)
   Rs.10 lakhs         done clear
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• question_answer26)
    Four cows are tied at the four corner of the square field of side \[20\text{ }m,\]so that they can just reach to each other. What is the area of the field which remain ungrazed?
  A)
   \[40\text{ }{{m}^{2}}\]                              done clear
  B)
   \[\text{86 }{{m}^{2}}\]        done clear
  C)
   \[\text{60 }{{m}^{2}}\]                  done clear
  D)
   \[\text{172 }{{m}^{2}}\] done clear
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• question_answer27)
  The area of a parallelogram is \[65\text{ }c{{m}^{2}}\]and its altitude is\[6.5\text{ }cm\]. Find the area of a rectangle having the same base.
  A)
   \[30\text{ }c{{m}^{2}}\]                             done clear
  B)
   \[\text{72 }c{{m}^{2}}\]        done clear
  C)
   \[\text{63 }c{{m}^{2}}\]                 done clear
  D)
   \[65\,c{{m}^{2}}\] done clear
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• question_answer28)
  In \[\Delta abc\,\,\overline{ab}>\,\overline{bc}>\,\,\overline{ca}\] which of the following is the smallest angle?
  A)
   \[\angle b\]     done clear
  B)
   \[\angle c\] done clear
  C)
   \[\angle a\]                             done clear
  D)
   Cant say, further data is required done clear
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• question_answer29)
  The length of a rectangular field is increased by 60% and its breadth is decreased by 40% to form a new rectangular field. Find the percentage change in the area of a the field.
  A)
   20% measure done clear
  B)
   4% decrease    done clear
  C)
   20 % decrease            done clear
  D)
   4% increase done clear
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• question_answer30)
  The sides of a quadrilateral taken in order are 7 cm, 6 cm, 3 cm and 4 cm. The angle between the last two sides is a right angle, find the area of quadrilateral.
  A)
   \[100\text{ }c{{m}^{2}}\]               done clear
  B)
   \[6\left( \sqrt{6}-1 \right)\,c{{m}^{2}}\]  done clear
  C)
   \[6\left( \sqrt{6}+1 \right)\,c{{m}^{2}}\]    done clear
  D)
   \[255.5\text{ }c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer31)
  The perimeter of two squares are 16 cm, 12 cm. The perimeter of a square whose area is equal to the sum of the areas of first two squares would be:                        
  A)
   \[18\text{ }cm\]                      done clear
  B)
   \[\text{20 }cm\]        done clear
  C)
   \[\text{28 }cm\]                      done clear
  D)
   \[\text{30 }cm\] done clear
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• question_answer32)
  Diameter of a wheel of a train is\[154\text{ }m\]. How much distance will it cover in 1000 revolutions?
  A)
   \[2.84\text{ }km\]      done clear
  B)
   \[5.24\text{ }km\]       done clear
  C)
   \[6.16\text{ }km\]                   done clear
  D)
   \[4.84\text{ }km\]           done clear
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• question_answer33)
  A wire, when bent in the form of a square, encloses an area of\[81\text{ }c{{m}^{2}}\]. If the same wire is bent in the form of a circle then find the area enclosed by it.                         
  A)
   \[101\frac{1}{11}c{{m}^{2}}\]    done clear
  B)
   \[81\,c{{m}^{2}}\]        done clear
  C)
   \[103\frac{1}{11}\,c{{m}^{2}}\]         done clear
  D)
   \[100\,c{{m}^{2}}\] done clear
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• question_answer34)
  If ABCD is a parallelogram, what is the ratio of areas of parallelogram ABCD and\[\Delta \,ABC\]?
  A)
   \[1:2\]                          done clear
  B)
   \[2:1\] done clear
  C)
   \[3:2\]                          done clear
  D)
   \[2:3\] done clear
  View Solution play_arrow

• question_answer35)
  How many square metres make 1 square km?
  A)
   100                             done clear
  B)
   1000000 done clear
  C)
   1000               done clear
  D)
   10000 done clear
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• question_answer36)
  If the radius of a circle is increased by 1 unit, what is the ratio of circumference and the diameter of circle so formed?
  A)
   \[\pi :1\]           done clear
  B)
   \[1:\pi \] done clear
  C)
   \[\pi :3\]                       done clear
  D)
   \[3:\pi \] done clear
  View Solution play_arrow

• question_answer37)
  The measurements in the given figure are in cm. What is its area?
  A)
   \[200\,c{{m}^{2}}\]                        done clear
  B)
   \[186\,c{{m}^{2}}\] done clear
  C)
          \[120\,c{{m}^{2}}\]            done clear
  D)
   \[196\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer38)
  The area of a triangular field in the shape of a right triangle is \[400\,sq.m.\] where base and altitude are in the ratio \[2:1\]. Find the perimeter.
  A)
   \[20\left( 3+\sqrt{5} \right)m\]            done clear
  B)
   \[100\,m\] done clear
  C)
   \[20\left( 3-\sqrt{5} \right)m\]  done clear
  D)
   \[20\left( 3+2\sqrt{5} \right)m\] done clear
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• question_answer39)
  The perimeter of rectangular piece of paper is 84 units. If the length is six times its width, what is its length?
  A)
   \[6\,cm\]                      done clear
  B)
   \[18\,cm\] done clear
  C)
   \[36\,cm\]        done clear
  D)
   \[42\,cm\] done clear
  View Solution play_arrow

• question_answer40)
  The floor of a hall measures \[20\,m\]by \[20\,m\]. A carpet is placed on the floor from wall to wall. What is the cost of the carpet if \[1\,{{m}^{2}}\] of costs \[Rs.\,50\]and for every \[1{{m}^{2}}\]of carper laid, \[\frac{1}{5}\,{{m}^{2}}\] of carpet material is wasted in cutting and laying?
  A)
   \[Rs.\,25000\] done clear
  B)
   \[Rs.\,20000\] done clear
  C)
   \[Rs.16000\]                done clear
  D)
   \[Rs.12000\] done clear
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