Question

The ratio of two sides of a parallelogram is 3 : 4. If its perimeter is 112 cm , find the length of all the sides of a parallelogram. ​

Answer 1

Perimeter of parallelogram

$= 2(l + b)$

Here

3l=4b

hence

112=2(l+b)

56=l+3/4 l

l=32

b=24

Answer 2

Answer:

If the two sides have a ratio of 3:4 that means their sides can be represented as 3x and 4x.

⇒ Perimeter of parallelogram =2(3x)+2(4x)

⇒ 112=6x+8x

⇒ 112=14x

⇒ x=8cm

The length of the sides are,

⇒ 3x=3×8cm=24cm

⇒ 4x=4×8cm=32cm

∴ The length of the smallest sides of the parallelogram is 24cm