Question 57

A wire is in the shape of a rectangle whose sides are in the ratio 7 : 4. It was initially in the shape of a circle of radius, very nearly equal to 31.5 cm. The length of smaller side of the rectangle is:(Take $$\pi = \frac{22}{7}$$)

Solution

Length of wire = circumference of the circle = $$2\pi\ r$$

$$2\times\ \frac{22}{7}\times\ 31.5=198$$

Let the length and breadth of the rectangle be 7x and 4x respectively

So, 2(7x+4x)=198

22x = 198

x=9

Breadth = 36 cm.

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