A similar fencing has to be built around a rectangular swimming pool having length $5 f t$ and breadth $3 f t$ . Determine the breadth of the fencing if the length is $10 f t$ .

6 f t

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5 f t

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4 f t

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15 f t

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Solution

The correct option is A $6 f t$
The dimensions of the swimming pool are:
Length $= 5 f t$
Breadth $= 3 f t$

Since, the rectangles are similar, the ratio of lengths and breadths will be equal.

Ratio of lengths $= \frac{10}{5} = 2$

Breadth of the fencing $\frac{b r e a d t h}{3} = 2$

$b r e a d t h = 3 \times 2 = 6 f t$

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