Two adjacent sides of a parallelogram are 24 cm and 18 cm If the distance between longer sides is 12...

Question

Two adjacent sides of a parallelogram are 24 cm and 18 cm If the distance between longer sides is 12 cm find the distance between shorter sides

Accepted Answer

M L Aggarwal - Understanding ICSE Mathematics - Class 8 chapter Mensuration Question 3 Solution image

Let take 24 cm as the base of a parallelogram, then its height is 12 cm.

We know that,

Area of parallelogram = base × height

= 24 × 12 = 288 cm²

Let’s consider d cm to be the distance between the shortest sides.

∴ Area of parallelogram = (18 × d) cm²

18 × d = 288

⇒ d = 288/18 = 16 cm

Therefore, the distance between the shorter sides is 16 cm.

ML Aggarwal Solutions Class 8 Mathematics Solutions for Mensuration Exercise 18.1 in Chapter 18 - Mensuration