Question

The area of a square park is same as of rectangular park. If the side of the square park is $60$ m and the length of the rectangular park is $90$ m, find the breadth at the rectangular park. Also find their perimeters.

Answer 1

Given that

Area of a square park = Area of a rectangular park.

The measure of one side of square park $=60$ m

Area of the square park = $(60\times 60)m^2=3600m^2$

Length of the rectangular park $=90$ m

The area of the rectangular also should be $3600$ m, because its area is equal to the Area of the square park.

Length $\times$ Breadth = $3600$

$\Rightarrow 90\times$ breadth $=3600$

$\Rightarrow$ breadth $=\frac{3600}{90}$

$\therefore$ breadth of rectangular park $=40$ m

perimeter of a square $=4a=4\times 60=240$ m.

perimeter of a rectangle $=2(l+b)=2(90+40)$

$=2\left(130\right)$

$=260m$