Easy Tutorial
For Competitive Exams

Find the height of the parallelogram whose base is four times that of the height and whose area is 576 $cm^{2}$

22 cm
12 cm
25 cm
32 cm
Explanation:

The area of a parallelogram is 576 $cm^{2}$

Let h be the height of the parallelogram.

The length of the base is four times the height.

The base of the parallelogram = 4 x h

= (4 x h) x h = 4 x $h^{2}$

The area of the parallelogram = base x height

4 x $h^{2}$ = 576

[From step 1.]

$h^{2}$ = 144

[Divide each side by 4.]

h = 12 cm

[Take the square roots on both the sides.]

The height of the parallelogram is 12 cm

Share with Friends
Privacy Copyright Contact Us