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A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 9 : 7. The smaller side of the rectangle is
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- 77 cm
- 97 cm
- 67 cm
- 87 cm
- 77 cm
Correct Option: A
Using Rule 14,
Circumference of circular shape = π × diameter
| = | × 112 = 352 cm | |
| 7 |
= length of wire
∴ Perimeter of rectangle = 2 (length + breadth)
⇒ 2 (l + b) = 352
| ⇒ l + b = | = 176 | |
| 2 |
| ∴ Smaller side of rectangle = | × 176 = 77 | |
| 16 |