In exchange for a square plot of land one of whose sides is 84 m, A man wants to buy a rectangular plot 144 m long and of the same area as the square plot. Determine the width of the rectangular plot.

Given:

Side of the square plot of the land $=84\ m$
Length of the rectangular plot $=144\ m$

Area of the rectangular plot is equal to the area of the square plot.

To do:

We have to find the width of the rectangular plot.

Solution:

Area of the square plot $=(84)^2$

$=7056\ m^2$

Let the width of the rectangular plot be $x$.

Area of the rectangular plot $=144\times x$

Therefore,

$144\times x=7056$

$x=\frac{7056}{144}$
$x=49\ m$

The width of the rectangular plot is $49\ m$. 

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

32 Views

Kickstart Your Career

Get certified by completing the course

Get Started