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Question 105
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
Solution
Let sides of rectangle be 7x and 9x.
Perimeter of Circular wire=Perimeter of Rectangle.
$$\pi\times{d}=2\times{(9x+7x)}$$ ('d' is the diameter of circular wire)
$${\frac{22}{7}}\times{112}=32x$$
$$x=11$$
Hence,smaller side of rectangle is $$11\times7=77 cm$$
Therefore, Option A is the correct answer.
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