Question

One side of a parallelogram is 12cm and the altitude corresponding to i is 8cm. If the length of the altitude corresponding to its adjacent side is 16cm, find the length of the adjacent side.

Answer 1

Area of a parallelogram with base b and height h is A = b x h
∴ Area of a parallelogram with base 12cm and height 8cm is A = 12 x 8 = 96cm² 
Let the length of the adjacent side of the parallelogram = xcm
The height corresponding to it = 16
∴  Area of a parallelogram with base xcm and height 16cm is A = 16x = 96

⇒ x = `(96)/(16)`
= 6cm.