Question

a square and a parallelogram are the same area if a side of the square is 40 metres and height of the parallelogram is 20 metres find the base of the parallelogram​

Answer 1

Answer :

$\bold{80\:m}$

Step-by-step explanation:

Given,

a square and a parallelogram have same area

side of square = 40 m

.°. Area, A = ${(40)}^{2}$

=> A = $1600\:{m}^{2}$

Now,

height of parallelogram = 20 m

let, base of parallelogram be 'b'

.°. Area, A' = base × height

=> A' = $20b\:{m}^{2}$

But,

A = A'

=> 20b = 1600

=> b = $\frac{1600}{20}$

=> b = 80 m

Hence,

base of parallelogram is $\bold{80\:m}$