The perimeter of a parallelogram is 60 cm and the ratio of its adjacen

1.	The perimeter of a parallelogram is 60 cm and the ratio of its adjacent sides is 3:2 .If the altitude corresponding is 5 cm. Find the area of the parallelogram and the alyitude corresponding to the smaller side
Answer» GivenRatio of side =3:2Perimeter =60cmAltitude =5cm So let take one side as 3x and other is 2x Then perimeter of parallelogram =3x+2x+3x+2x=10x According to question perimeter =60cm Then 10x=60cm X=60/10=6cm Then one side is =6 x 3=18 And other is =2x6=12 So base=18cm Area of parallelogram =bxh =18x5=90cm² Altitude corresponding to smaller side 90=12xh H=7.5cm

The perimeter of a parallelogram is 60 cm and the ratio of its adjacent sides is 3:2 .If the altitude corresponding is 5 cm. Find the area of the parallelogram and the alyitude corresponding to the smaller side

Answer»

GivenRatio of side =3:2Perimeter =60cmAltitude =5cm

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

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

According to question perimeter =60cm

Then 10x=60cm X=60/10=6cm

Then one side is =6 x 3=18

And other is =2x6=12

So base=18cm

Area of parallelogram =bxh

=18x5=90cm²

Altitude corresponding to smaller side

90=12xh

H=7.5cm