CBSE Class 10 Maths HOTs Mensuration

Question. 1. The perimeter of regular pentagon of side \( 8 \text{ cm} \) is :
(A) \( 32 \text{ cm} \) (B) \( 40 \text{ cm} \) (C) \( 48 \text{ cm} \) (D) \( 56 \text{ cm} \)
Answer.  (B) \( 40 \text{ cm} \)

Question. 2. Find the area of square having perimeter \( 20 \text{ cm} \).
(A) \( 5 \text{ cm}^2 \) (B) \( 10 \text{ cm}^2 \) (C) \( 20 \text{ cm}^2 \) (D) \( 25 \text{ cm}^2 \)
Answer.  (D) \( 25 \text{ cm}^2 \)

Question. 3. A regular polygon having \( n \) side perimeter \( m \) unit, then length of each side of polygon is :
(A) \( mn \) unit (B) \( \frac{m}{n} \) unit (C) \( \frac{n}{m} \) unit (D) can't be determine
Answer.  (B) \( \frac{m}{n} \) unit

Question. 4. Rectangle having length \( l \) unit and perimeter \( p \) unit then its breadth is :
(A) \( \frac{p}{l} \) unit (B) \( \frac{p}{2} - l \) unit (C) \( \frac{p}{2} + l \) unit (D) \( \frac{l}{p} \) unit
Answer.  (B) \( \frac{p}{2} - l \) unit

Question. 5. A rectangular floor having dimension \( 40\text{m} \times 30\text{m} \) is paved with square tiles of side \( 5 \text{ m} \), find the number of tiles required.
(A) \( 24 \) (B) \( 48 \) (C) \( 96 \) (D) \( 120 \)
Answer.  (B) \( 48 \)

Question. 6. If the area and length of a rectangular plot are \( 440 \text{ m}^2 \) and \( 22 \text{ m} \) respectively, then find its breadth ?
(A) \( 20 \text{ m} \) (B) \( 10 \text{ m} \) (C) \( 30 \text{ m} \) (D) \( 40 \text{ m} \)
Answer.  (A) \( 20 \text{ m} \)

Question. 7. A lawn is in the shape of a rectangle of length \( 80 \text{ m} \) and width \( 40 \text{ m} \). Out side the lawn there is footpath of uniform width \( 3 \text{ m} \). Find the area of the path.
(A) \( 756 \text{ m}^2 \) (B) \( 706 \text{ m}^2 \) (C) \( 736 \text{ m}^2 \) (D) \( 726 \text{ m}^2 \)
Answer.  (A) \( 756 \text{ m}^2 \)

Question. 8. The length and width of a rectangular field are \( 500 \text{ m} \) and \( 400 \text{ m} \) respectively; within it two roads of \( 10 \) metres width run parallel to both sides. Find the area covered by both the roads.
(A) \( 8800 \text{ m}^2 \) (B) \( 8900 \text{ m}^2 \) (C) \( 8860 \text{ m}^2 \) (D) \( 8830 \text{ m}^2 \)
Answer.  (B) \( 8900 \text{ m}^2 \)

Question. 9. The cost of levelling a playground at \( \text{Rs.} 5 \) per square meter is \( \text{Rs. } 7000 \). It is \( 20 \text{ m} \) wide. Find the cost of fencing it at \( \text{Rs.} 2 \) per meter.
(A) \( \text{Rs. } 330 \) (B) \( \text{Rs. } 340 \) (C) \( \text{Rs. } 350 \) (D) \( \text{Rs. } 360 \)
Answer.  (D) \( \text{Rs. } 360 \)

Question. 10. A street lane is to be paved with bricks. The length of the lane is \( 200 \text{ m} \) and its breadth \( 15\text{m} \). Find the number of bricks required to pave the lane if each brick measures \( 20 \text{ cm} \) by \( 10 \text{ cm} \)
(A) \( 15 \) (B) \( 150 \) (C) \( 1500 \) (D) \( 150000 \)
Answer.  (D) \( 150000 \)

Question. 11. The perimeters of two square are \( 748 \text{ cm} \) and \( 336 \text{ cm} \). Find the perimeter of a square whose area is equal to the sum of the areas of these two squares :
(A) \( 810 \text{ cm} \) (B) \( 815 \text{ cm} \) (C) \( 820 \text{ cm} \) (D) \( 825 \text{ cm} \)
Answer.  (C) \( 820 \text{ cm} \)

Question. 12. The dimensions of a hall are \( 40 \text{ m} \), \( 25 \text{ m} \) and \( 20 \text{ m} \). If each person requires \( 200 \) cubic metres. Then the number of persons who can be accommodated in the hall are :
(A) \( 120 \) (B) \( 150 \) (C) \( 140 \) (D) \( 100 \)
Answer.  (D) \( 100 \)

Question. 13. How many cubes of side \( 15 \text{ cm} \) can be fitted into a box which measure \( 1.5 \text{ m} \times 90 \text{ cm} \times 75 \text{ cm} \text{ ?} \)
(A) \( 120 \) (B) \( 300 \) (C) \( 140 \) (D) \( 100 \)
Answer.  (B) \( 300 \)

Question. 14. The edge of cube is \( 20 \text{ cm} \). How many small cubes of \( 5 \text{ cm} \) edge can be formed from this cube ?
(A) \( 4 \) (B) \( 32 \) (C) \( 64 \) (D) \( 100 \)
Answer.  (C) \( 64 \)

Question. 15. Length and breadth of a rectangle is \( x \) and \( y \), the its perimeter is :
(A) \( xy \) (B) \( x + y \) (C) \( 2(x + y) \) (D) \( 2xy \)
Answer.  (C) \( 2(x + y) \)

Question. 16. Perimeter of an equilateral triangle of side \( x \) is :
(A) \( x^3 \) (B) \( x^2 \) (C) \( 3x \) (D) \( 2x \)
Answer.  (C) \( 3x \)

Question. 17. The length and breadth of rectangle are \( 10 \text{ cm} \) and \( 6 \text{ cm} \) respectively. Its area will be :
(A) \( 36 \text{ cm}^2 \) (B) \( 60 \text{ cm}^2 \) (C) \( 100 \text{ cm}^2 \) (D) \( 16 \text{ cm}^2 \)
Answer.  (B) \( 60 \text{ cm}^2 \)

Question. 18. Area of square of side \( 5 \text{ cm} \) is :
(A) \( 25 \text{ sq cm} \) (B) \( 10 \text{ sq cm} \) (C) \( 20 \text{ sq cm} \) (D) none of these
Answer.  (A) \( 25 \text{ sq cm} \)

Question. 19. The cost of flooring a room at \( \text{Rs. } 25 \) per \( \text{m}^2 \) is \( \text{Rs.625} \).
The area of the floor is :
(A) \( 25 \text{ m}^2 \) (B) \( 15 \text{ cm}^2 \) (C) \( 50 \text{ cm}^2 \) (D) \( 25 \text{ cm}^2 \)
Answer.  (A) \( 25 \text{ m}^2 \)

Question. 20. The length of a rectangle having area \( 340 \text{ cm}^2 \) and breadth \( 20 \text{ cm} \) is :
(A) \( 170 \text{ cm} \) (B) \( 15 \text{ cm} \) (C) \( 17 \text{ cm} \) (D) \( 20 \text{ cm} \)
Answer.  (C) \( 17 \text{ cm} \)

Question. 21. To find the distance around the figure we find its :
(A) area (B) perimeter (C) both (D) none of these
Answer.  (B) perimeter

Question. 22. The side of regular pentagon having perimeter \( 5x \) units is :
(A) \( 25 \) units (B) \( x \) units (C) \( 5 \) units (D) none of these
Answer.  (B) \( x \) units

Question. 23. If the side of the square field is doubled, then its area will be :
(A) four times (B) doubled (C) halved (D) tripled
Answer.  (A) four times

Question. 24. To calculate length of rectangle we divide its area by its :
(A) breadth (B) length (C) perimeter (D) \( 2 \)
Answer.  (A) breadth

```