Question

Two adjacent sides of a parallelogram are 20cm and 18cm. If the distance between the larger sides is 9cm, find the area of the parallelogram. Also, find the distance between the shorter sides.

Answer 1

Area of a parallelogram with base b and height h is A = b x h
∴ Area of a parallelogram with base 20cm and height 9cm is A = 20 x 9 = 180cm²
The height corresponding to the side 18cm = xcm
Area of a parallelogram with base 18cm and height xcm is A = 18 x x
⇒ 20 x 9 = 18 x x

⇒ x = `(20 xx 9)/(18)`
= 10cm.