Question

the area of a parallelogram is 512 m square if altitude is 30 the corresponding base determine the base and altitude

Answer 1

Let the base(b) be 'x'

Given altitude is twice the base

It means,altitude(h) = 2x

Area of a parallelogram = bh

Given area of the parallelogram = 392 m²

⇒(bh)=392m²

⇒(x)(2x)=392m²

⇒2x²=392m²

⇒x²=392m²/2

⇒x²=196m²

⇒x=√196m²

⇒x=14m.

Therefore,the base of the parallelogram(x)=14m and

                the altitude of the parallelogram(2x)=2(14)=28m