Question

the perimeter of a parallelogram is 60 cm and the ratio of its adjacent side is 3:2 ,if the altitude corresponding to larger side of the parallelogram is 5cm .find the area of the parallelogram and the altitude corresponding to the smaller side please explain ​

Answer 1

hyy dear

Given

Ratio of side = 3:2

Perimeter = 60 cm

Altitude = 5 cm

So let take one side as 3x and other is 2x

Then perimeter of parallelogram= 3x + 2x + 3x + 2x = 10x

According to question perimeter = 60 cm

Then

10x = 60cm

x = 60/10

= 6cm

Then one side is = 6 × 3 = 18

AND other is = 2 × 6 = 12

So base =18 cm

Area of parallelogram = b×h

= 18×5 = 99cm²

Altitude corresponding to smallest side

90 = 12×h

H = 7.5 cm

May this helps you

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Answer 2

Given,

Ratio of side = 3:2

perimeter = 60cm

Altitude = 5cm

let,

One side is 3x and other side is 2x

Then,

perimeter of parallelogram = 3x+2x+3x+2x

= 10x

10x=60cm

x=60/10=6cm

so,

One side is 6×3=18

2nd side is 2×6=12

Area of parallelogram= b×h

= 18×5

= 90cm²

Altitude corresponding to smaller side

90=12xh

H=7.5cm

Hope it helps...

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