Question

A square and a rectanglular field with measurement as given in the figure have the same perimeter. Which field has a larger area?

Answer 1

Given, Square (side) $=60m$

Rectangle, $l=80m$

Perimeter of square $=$ perimeter of rectangle

$4\left(60\right)=2(80+b)$

$240=160+2b$

$80=2b$

$b=40m$

Area of square $=s^2$

$=60\times 60$

$=3600m^2$

Area of rectangle $=l\times b$

$=80\times 40$

$=3200m^2$

Area of squares filed is greater than area of rectangular field