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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.

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Let STUV be the parallelogram. 

Ratio of two adjacent sides of a parallelogram is 3 : 4. 

Let the common multiple be x. 

ST = 3x cm and TU = 4x cm 

∴ ST = UV = 3x cm 

TU = SV = 4x cm …..(i) [Opposite sides of a parallelogram] 

Perimeter of STUV = 112 [Given] 

∴ ST + TU + UV + SV = 112 

∴ 3x + 4x + 3x + 4x = 112 [From (i)] 

∴ 14x = 112 

∴ x = 112/14

∴ x = 8 

∴ ST = UV = 3x = 3 x 8 = 24 cm 

∴ TU = SV = 4x = 4 x 8 = 32 cm [From (i)] 

∴ The lengths of the sides of the parallelogram are 24 cm, 32 cm, 24 cm and 32 cm.

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