DIRECTIONS : Problems based on Area.
9. |
A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed? |
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A. 55 |
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B. 56 |
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C. 57 |
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D. 58 |
Solution |
Perimeter of the plot | = 2 ( 90 + 50 ) |
= 280 m. |
Number of poles | = (280 / 5) |
= 56 m. |
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10. |
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle? |
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A. 10 cm |
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B. 20 cm |
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C. 30 cm |
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D. 40 cm |
Solution |
Let the breadth = x | Then length =2x |
= [(2x-5)(x+5)-2x ] x [x=75] |
x =20. |
Length of the rectangle=20cm. |
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11. |
A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor? |
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A. 176 |
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B. 175 |
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C. 185 |
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D. 188 |
Solution |
Area of the room | = (544 x 374)cm ² |
Size of largest square tile | = H.C.F of 544 & 374cm |
= 34 cm |
Area of 1 tile | = (34 x 34)cm² |
Number of tiles required | = [544 x 374 / 34 x 34] |
= 176. |
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12. |
The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq.cm. Find its height? |
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A. 3 cm |
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B. 6 cm |
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C. 7 cm |
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D. 9 cm |
Solution |
Let the height of the parallelogram be x cm.Then base |
= (2x) cm |
=2x² = 72 |
x²=36 |
x = 6. |
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