The base of a parallelogram is twice its height. If the area of the parallelogram is 288 cm2, find its height

The base of a parallelogram is twice its height. If the area of the parallelogram is 288 cm², find its height

A 24 cm

B 12 cm

C 18 cm

D 42 cm

E None of these

Correct Answer: Option B

We know that:

Area of a parallelogram = base × height

Let the height of the parallelogram be x cm, then, base = 2x cm

∴ According to the question –

2x × x = 288 cm2

⇒ 2x² = 288 cm²

⇒x²= 144 cm²

⇒ x = 12 cm

Hence height of the parallelogram would be 12 cm.