Question

The height of the parallelogram is one fourth of its base. If the area of the parallelogram is 676 sq. cm, find the height and the base.

Answer 1

Let the base of the parallelogram be ‘b’ cm 

Given height = \(\frac{1}{4}\) x base; 

Area of the parallelogram = 676 sq. cm 

b x h = 676

b x \(\frac{1}{4}\)b = 676 

b x b = 676 x 4 

b x b = 13 x 13 x 4 x 4 

b = 13 x 4 cm = 52 cm 

Height = \(\frac{1}{4}\) x 52 cm = 13 cm 

Height = 13 cm, Base 52 cm