2D mensuration test 1

1. If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is :

2. The breadth of a rectangular hall is three-fourth of its length. If the area of the floor is 768 sq. m. , then the difference between the length and breadth of the hall is:

3. Between a square of perimeter 44 cm and a circle of circumference 44 cm, which figure has larger area and by how much ?

4. The perimeter of a square and a circular field are the same. If the area of the circular field is 3850 sq meter. What is the area (in m2 ) of the square?

5. The perimeter of the top of a rectangular table is 28m., whereas its area is 48m2 . What is the length of its diagonal?

6. The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm. Find the perimeter of the rectangle.

7. The perimeter of a rectangle is 160 meter and the difference of two sides is 48 meter. Find the side of a square whose area is equal to the area of this rectangle.

8. The perimeter of two squares are 24 cm and 32 cm. The perimeter (in cm) of a third square equal in area to the sum of the areas of these squares is :

9. The difference of the areas of two squares drawn on two line segments of different lengths is 32sq. cm, Find the length of the greater line segment if one is longer than the other by 2 cm.

10. The area (in m2 ) of the square which has the same perimeter as a rectangle whose length is 48 m and is 3 times its breadth is:

11. The perimeter of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the area of the two squares is

12. The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750m2 . The length of the hall is :

13. The perimeter of a rectangle and a square are 160 m each. The area of the rectangle is less than that of the square by 100 sq m. The length of the rectangle is

14. The perimeter of the floor of a room is 18 m. What is the area of the walls of the room, If the height of the room is 3 m ?

15. A street of width 10 metres surrounds from outside a rectangular garden whose measurement is 200 m × 180 m. The area of the path (in square metres ) is

16. The area of the square inscribed in a circle of radius 8 cm is

17. If the perimeter of a square and a rectangle are the same. then the area P and Q enclosed by them would satisfy the condition

18. The length and breadth of a rectangular field are in the ratio 7 : 4. A path 4 m wide running all around outside has an area of 416 m2 . The breadth (in m) of the field is

19. How many tiles, each 4 decimeter square. will be required to cover the floor of a room 8 m long and 6 m broad?

20. A godown is 15 m long and 12 m broad. The sum of the area of the floor and the ceiling is equal to the sum of areas of the four walls. The volume (in m3 ) of the godown is: