Question

The ratio of two adjacent sides of a parallelogram is 2:3 .it's perimeter is 50cm.find it's area if altitude corresponding to larger side is 10cm.​

Answer 1

The ratio of two adjacent sides of a parallelogram is 2:3 and its perimeter is 50 cm. Find its area if altitude corresponding to large side is 10 cm.

Medium

Solution

Given:The ratio of adjacent sides of a parallelogram is 2:3

Let the lengths of the adjacet side be 2x and 3x respectively.

Also,perimeter=50cm

⇒2(2x+3x)=50cm

⇒10x=50cm

⇒x=

10

50

=5cm

Thus, the adjacent sides of parallelogram are 10cm and 15cm

Hence area=15×10=150cm

2

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