Question

The perimeter of a parallelogram is 60cm and the ratio of its adjacent sides is 3:2. If the altitude corresponding to larger side of the parallelogram and the altitude corresponding to the smaller side.

Answer 1

let larger side is 3x

then another side is 2x

thus perimeter of a parallelogram is 10x=60

thus x=6cm

Then one side is =6×3=18

And other is =2×6=12

So base=18cm

area of parallelogram is base × height

area=18×5=90cm

2

Altitude corresponding to smaller side

90=12×h

h=7.5cm