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.

Answer 1

$\text{Side of a square plot=84 m}\therefore Area=(a{)}^2=(84{)}^2=84\times 84m^2=7056m^2\therefore Areaofrectangularfield=7056m^{2}Length\left(l\right)=144m\therefore Breadth=\frac{Area}{Length}=\frac{7056}{144}=49m$