Mensuration Questions and Answers updated daily – Aptitude



274 Mensuration Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Mensuration online test. Mensuration Questions with detailed description, explanation will help you to master the topic.

Mensuration Questions

1. A rectangular plot has a length of 26 units, and breadth of 14 units. Find the area of the plot ?



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Correct Ans:364
Explanation:
Area of Rectangle = length x breadth
26 x 14= 364


2. For a rectangle length is 26 units, and breadth is 11 units. Can you find its area ?



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Correct Ans:286
Explanation:
Area of Rectangle = length x breadth
26 x 11= 286


3. Given rectangle of length 26 units, and breadth of 8 units. Compute its area ?



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Correct Ans:208
Explanation:
Area of Rectangle = length x breadth
26 x 8= 208


4. A farmer has a square shaped field whose sides measure 56m each. In the middle of his field, he has a Square shaped room (each side measuring 50m). It costs Rs.50 to plough per Sq.m. Find the total cost to plough?



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Correct Ans:31800
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 56m and y = 50 we get the required area = 56^2 - 50^2 = (56+50) x (56-50) (using a^2-b^2 formulae)
= (106) x (6) = 636
Price = Area x Price per Sq.m = 636 x 50 = 31800


5. A farmer has a square shaped field whose sides measure 48m each. In the middle of his field, he has a Square shaped room (each side measuring 42m). Find the Total Area he can plough ?



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Correct Ans:540
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 48m and y = 42 we get the required land which can be Ploughed = 48^2 - 42^2 = (48+42) x (48-42) (using a^2-b^2 formulae)
= (90) x (6) = 540


6. A farmer has a square shaped field whose sides measure 40m each. In the middle of his field, he has a Square shaped room (each side measuring 34m) Find the area of cultivable land?



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Correct Ans:444
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 40m and y = 34 we get the required cultivable land = 40^2 - 34^2 = (40+34) x (40-34) (using a^2-b^2 formulae)
= (74) x (6) = 444


7. A Big Square shaped hall (each side measuring 50m) needs to be fitted with carpet in such a way that there is 2 m even gap between carpet and the walls of the hall. If one Sq.m of carpet costs Rs.44 , find the overall cost required to fit the carpet ?



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Correct Ans:93104
Explanation:
Side of the Carpet =46 {50 - (2 x 2 m)} by eliminating 2m of length at the top and another 2m of length at the bottom from the bigger Square
Area of the Carpet = 46^2 =2116
Price = Area x Price per Sq.m = 2116 x 44 = 93104


8. A Big Square shaped hall (each side measuring 55m) needs to be fitted with carpet in such a way that there is 1 m even gap between carpet and the walls of the hall. Find the overall area of the carpet ?



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Correct Ans:2809
Explanation:
Side of the Carpet =53 {55 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom from the bigger Square
Area of the Carpet = 53^2 =2809


9. One side of a Square shaped park measures 35m. Walking path measuring 1m needs to be formed along the interior sides of the park. The inner square needs to be ploughed and the charges are Rs.29 per Sq.m. Find the cost required for ploughing?



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Correct Ans:31581
Explanation:
Side of the inner square =33 {35 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom from the bigger Square
Area of the Inner Square = 33^2 =1089
Price = Area x Price per Sq.m = 1089 x 29 = 31581


10. One side of a Square shaped park measures 40m. Walking path measuring 1m needs to be formed along the interior sides of the park. It cost Rs. 34 per Sq.m to lay walking tiles. Estimate the total amount Required ?



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Correct Ans:5304
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 40m and y = 38 {40 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom
We get the required area = 40^2 - 38^2 = (40+38) x (40-38) (using a^2-b^2 formulae)
= (78) x (2) = 156
Price = Area * Per unit Cost = 156 x 34 = 5304


11. One side of a Square shaped park measures 65m. Walking path measuring 1m needs to be formed along the interior sides of the park. Find the area of the inner Square?



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Correct Ans:3969
Explanation:
Side of the inner square =63 {65 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom from the bigger Square
Area of the Inner Square = 63^2 =3969


12. One side of a Square shaped park measures 35m. Walking path measuring 1m needs to be formed along the interior sides of the park. Find the area of the walking path ?



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Correct Ans:136
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 35m and y = 33 {35 -(2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom
- ) we get the required area = 35^2 - 33^2 = (35+33)x(35-33)
= (68) x (2) = 136


13. Each side of a Square shaped park measures. 35m. A Square shaped garden inside the park, measures 29m. Can you find the area in between them ?



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Correct Ans:384
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 35m and y = 29 we get the required area = 35^2 - 29^2 = (35+29)x(35-29)
= (64) x (6) = 384


14. Given a Square whose sides measure 70m. Another Square measuring 64 is placed inside the bigger Square. Calculate the area between them ?



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Correct Ans:804
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 70m and y = 64 we get the required area = 70^2 - 64^2 = (70+64)x(70-64)
= (134) x (6) = 804


15. A farmer has a square shaped field whose sides measure 51m each. In the middle of his field, he has a Square shaped room (each side measuring 46m). It costs Rs.46 to plough per Sq.m. Find the total cost to plough?



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Correct Ans:22310
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 51m and y = 46 we get the required area = 51^2 - 46^2 = (51+46) x (51-46) (using a^2-b^2 formulae)
= (97) x (5) = 485
Price = Area x Price per Sq.m = 485 x 46 = 22310


16. A farmer has a square shaped field whose sides measure 43m each. In the middle of his field, he has a Square shaped room (each side measuring 38m). Find the Total Area he can plough ?



SHOW ANSWER
Correct Ans:405
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 43m and y = 38 we get the required land which can be Ploughed = 43^2 - 38^2 = (43+38) x (43-38) (using a^2-b^2 formulae)
= (81) x (5) = 405


17. A farmer has a square shaped field whose sides measure 35m each. In the middle of his field, he has a Square shaped room (each side measuring 30m) Find the area of cultivable land?



SHOW ANSWER
Correct Ans:325
Explanation:
Let the side of bigger Square be x and side of smaller square be y. Then area between them = x^2 - y ^2
Substituting x = 35m and y = 30 we get the required cultivable land = 35^2 - 30^2 = (35+30) x (35-30) (using a^2-b^2 formulae)
= (65) x (5) = 325


18. A Big Square shaped hall (each side measuring 45m) needs to be fitted with carpet in such a way that there is 2 m even gap between carpet and the walls of the hall. If one Sq.m of carpet costs Rs.40 , find the overall cost required to fit the carpet ?



SHOW ANSWER
Correct Ans:67240
Explanation:
Side of the Carpet =41 {45 - (2 x 2 m)} by eliminating 2m of length at the top and another 2m of length at the bottom from the bigger Square
Area of the Carpet = 41^2 =1681
Price = Area x Price per Sq.m = 1681 x 40 = 67240


19. A Big Square shaped hall (each side measuring 50m) needs to be fitted with carpet in such a way that there is 1 m even gap between carpet and the walls of the hall. Find the overall area of the carpet ? 



SHOW ANSWER
Correct Ans:2304
Explanation:
Side of the Carpet
=> 48 {50 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom from the bigger Square
Area of the Carpet =>side * side
=> 48 * 48
=> 2304
Area of carpet =2304.


20. One side of a Square shaped park measures 30m. Walking path measuring 1m needs to be formed along the interior sides of the park. The inner square needs to be ploughed and the charges are Rs.25 per Sq.m. Find the cost required for ploughing?



SHOW ANSWER
Correct Ans:19600
Explanation:
Side of the inner square =28 {30 - (2 x 1 m)} by eliminating 1m of length at the top and another 1m of length at the bottom from the bigger Square
Area of the Inner Square = 28^2 =784
Price = Area x Price per Sq.m = 784 x 25 = 19600





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