Question

(C) The base of a parallelogram is twice its altitude. If its area is 162 cm² then its altitude is (i) 9 cm (ii) 18 cm (iii) 12 cm (iv) 15 cm​

Answer 1

Let the height of the parallelogram be x cm. 

Then base =(2x) cm

Area of parllelogram =72 cm2

2x×x=72cm

⇒2x2=72cm⇒x2=36cm     

x=6cm.

Hence height of parallelogram =6cm.

Answer 2

Answer:

Let the height of the parallelogram be x cm.

Then base =(2x) cm

Area of parllelogram =72 cm

2x×x=72cm

⇒2x2=72cm⇒x2

=36cm

x=6cm.

Hence height of parallelogram =6cm.