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Question
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 `square`ABCD be a parallelogram.
AB : BC = 3 : 4
If AB = 3x cm
So, BC = 4x cm ...(x is the common multiple.)
∴ CD = AB = 3x cm and AD = BC = 4x cm ...(opposite sides of parallelogram)
Perimeter of `square`ABCD = 112 cm
∴ AB + BC + CD + AD = 112
∴ 3x + 4x + 3x + 4x = 112
∴ 14x = 112
∴ x = `112/14`
∴ x = 8
∴ CD = AB = 3x = 3 × 8 = 24 cm
∴ AD = BC = 4x = 4 × 8 = 32 cm
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