Quadrilateral
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Quadrilateral
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25 Questions

1. A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq. metre.
2. A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in a ratio of 6 : 5. The smaller side of the rectangle is, (take π=22/7)
3. A rectangle chart paper has perimeter as 92 c.m. and diagonally a line of length 34 cm can be sketched on it. Then find it's area.
4. A rectangle has length of 15cm and area of 150sq. cm. If it's area is to be expanded to 4/3 times without expanding its breadth then it's new perimeter will be:
5. The area of rhombus is 300 sq. cm. If the length of one of it's diagonals be 20 cm. Then the length of the other diagonal will be:
6. Find the area of a rhombus having perimeter of 40 cm and height of 5 cm:
7. The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height.
8. The difference in areas of two squares is 32 sq cm. Find the length of the larger square if it is 2 cm longer than the other.
9. The diagonals of two squares are in the ratio of 3 : 7. Find the ratio of their areas.
10. If length and perimeter of a rectangle are in the ratio 5 : 16, then its length and breadth will be in the ratio,
11. Find the area of a rhombus having one side as 10 cm and one diagonal 12 cm.
12. The length of a rectangular plot is increased by 25%.how much breadth should be decreased to keep area same.
13. One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.
14. The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
15. Find the area of a rhombus one side of which measures 20 cm and one diagonal 24 cm.
16. A round shaped park has a boundary of 440 m. There is a 7m wide path inside the boundary. The area of the path is:
17. ABCD is a parallelogram. P and Q are the mid-points of sides BC and CD respectively. If the area of the â–³ABC is 12 sq.cm., the area of â–³APQ is,
18. How many tiles of dimension 12cm x 5cm are required to fit in a rectangular region of dimension 144cm x 100cm:
19. One side of a rectangular field is 30 m and one of its diagonals is 34 m. Find the area of the field.
20. If the diagonals of a rhombus are 20 cm and 10 cm, what will be its perimeter?
21. The base of a parallelogram is (x + 2), altitude to the base is (x-6) and the area is (x2 - 48), then it's area is:
22. If a rectangle has diagonal of 17cm long and its perimeter is 46cm, Then find it's area:
23. A room has length and breadth in the ratio of 3 : 1 . The cost of carpeting the floor at Rs. 5 per sq. m is Rs. 270 and the cost of colouring the four walls at Rs. 10 per m2 is Rs. 1720. If a door and 2 windows have total area of 8 sq. m, find the height of the room.
24. In an equilateral â–³ABC of side 10cm, the side BC is trisected at D. The length of AD then (in cm) is,
25. Find the area of a square, one of whose diagonals is 3.8 m long.

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