Question 103

The length of a rectangular field is three times its width. Inside the field there is a square shaped pond of side 12 m long. If the area of the pond is $$\frac{1}{12}$$, vk the area of the field, then the length of the field, in meters, is

Solution

As per the condition given in the question,

Length of the field (l)$$=3\times $$breadth (b)

The side length of the square$$=12m$$

The area of the field $$=12\times$$ area of the pond

Area of the pond $$=12\times 12=144m^2$$

Hence, area of the field $$b\times 3b=12\times 144$$

$$\Rightarrow b^2=4\times 144$$

$$\Rightarrow b=2\times 12=24m$$

Hence, the length of the field $$=24\times 3=72m$$

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