Question

iUITUUN. 7. Two adjacent sides of a parallelogram are 20 cm and 60 cm, respectively. If the height corresponding to the longer side is 14 cm, find height corresponding to its shorter side.
​

Answer 1

Answer:

Solution:-

Given : Two adjacent sides of the parallelogram are AB = 24 cm and BC = 18 cm and the distance between the longer side, DE = 12 cm.

To find : The distance between the shorter side.

Let the distance between the shorter side, DF be 'x' cm.

Area of the parallelogram = Base × Height

Area of the parallelogram, considering AB as the base = AB × DE

= 24 × 12

Area = 288 cm²

Now considering BC as the base, the area of the parallelogram = BC × DF

= 18 × x

Area = 18x

Since the area of the parallelogram will be the same, if we consider Ab as the base or BC as the base.

So, AB × DE = BC × DF

⇒ 288 18x

x = 288/18

x = 16 cm

So, the distance between the shorter side is 16 cm.

Answer.

Step-by-step explanation: