Maharashtra State BoardSSC (English Medium) 9th Standard
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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.

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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
Chapter 5 Quadrilaterals
Problem Set 5 | Q 4 | Page 74
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