Question
In exchange of a square plot one of whose sides is $84m,$ a man wants to buy a rectangular plot $144m$ long and of the same area as of the square plot. Find the width of the rectangular plot.
✓
Answer
Side of a square plot $= 84m$
Area $=(a)^2=(84)^2=84 \times 84 \mathrm{~m}^2=7056 \mathrm{~m}^2$
Area of rectangular field $= 7056m^2$
Length $(l) = 144m$
$\therefore$ Breadth $=\frac{\text{Area}}{\text{Length}}=\frac{7056}{144}=49\text{m}$
Area $=(a)^2=(84)^2=84 \times 84 \mathrm{~m}^2=7056 \mathrm{~m}^2$
Area of rectangular field $= 7056m^2$
Length $(l) = 144m$
$\therefore$ Breadth $=\frac{\text{Area}}{\text{Length}}=\frac{7056}{144}=49\text{m}$
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