In a parallelogram, the altitude is twice the corresponding base, and the area of the parallelogram is 288 m². The altitude of the parallelogram is:

Correct option is C

Given:

Area of parallelogram = 288$$m^2$$​​

Altitude is twice the base

Formula Used:

Area of parallelogram = $$b \times h$$​​

Where b is base and h is height of parallelogram

Solution:

Let the base of parallelogram be x

Then height of parallelogram wil be 2x

Area of parallelogram = x $$\times$$​ (2x) = 288

​$$2x^2 = 288$$​​

​$$x^2 = 144$$​​

​$$x= \sqrt{144} = 12m$$​​

Altitude of parallelogram = 2x = 24m