Question

The area of parallelogram is equal to the area of a squre whose perimeter is 120m.if the height of the parallelogram is20m,then find its correspinding base

Answer 1

Answer:-

Base = 45 cm

Given :-

perimeter of square = 120 m

height of parallelogram = 20m

To find :-

Base of the parallelogram.

Solution:-

First, we have to find the sides of square.

perimeter of square is given by :-

→$p = 4 \times side$

→$120 = 4 \times side$

→$side = \dfrac{120}{4}$

→$side = 30 cm$

Now,

Area of square is given by :-

→$A = (side) ^2$

→$A = (30) ^2$

→$A = 900 m^2$

Since, area of square = area of parallelogram.

→$900 = b\times h$

→$900 = b \times 20$

→$b = \dfrac{900}{20}$

→$b = 45 m$

hence,

The base of parallelogram will be 45 m.