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Question
In exchange of a square plot one of whose sides is 84 m, a man wants to buy a rectangular plot 144 m long and of the same area as of the square plot. Find the width of the rectangular plot.
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Solution
Given:
Side of the square plot = 84 m
Now, the man wants to exchange it with a rectangular plot of the same area with length 144.
\[ {\text{ Area of the square plot }= 84\times84 = 7056 m}^2 \]
∴ Area of the rectangular plot = Length x Width
7056 = 144 x Width
\[ \Rightarrow\text{ Width }=\frac{7056}{144}=49 m\]
Hence, the width of the rectangular plot is 49 m.
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