# Ratio of Two Adjacent Sides of a Parallelogram is 3 : 4, and Its Perimeter is 112 Cm. Find the Length of Its Each Side - Geometry

Sum

Ratio of two adjacent sides of a parallelogram is 3 : 4, and its perimeter is 112 cm. Find the length of its each side.

#### Solution

Let the two sides be 3x and 4x .
In a parallelogram the opposite sides are congruent.
So, the sides are 3x, 3x, 4x and 4x
Perimeter = 112 cm

3x + 3x +4x +4x = 112

=> 14 x = 112

=>x = 112/14

=> x = 8

So,
3x = 3 × 8 = 24 cm

4x = 4 × 8 = 32 cm

Thus, the sides are 24 cm, 32 cm, 24 cm and 32 cm.

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#### APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board