Question

A rectangle and a square are equal in area. The side of the square is 24 m. Find the width of the rectangle if it is 36 m long. Are their perimeters equal?

Answer 1

Side of the square =24 m
Area of the square $=24\times 24sq.m=576sq.m$
Area of the rectangle = area of the square =576 sq. m Length of the rectangle =36 m
$\therefore \text{Breadth of the rectangle}=\frac{576}{36}m=16m$
$\text{Perimeter of the square}=4\times 24m=96m$
$\text{Perimeter of the rectangle}=2(length+breadth)=2(36+16)m=2\times 52m=104m$
Hence, their perimeters are not equal.