Question

The area of a parallelogram is 392 $m^2$, If its altitude is twice the corresponding base, determine the base and the 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