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Question

The perimeter of the parallelogram ABCD is 24 cm with its two adjacent sides in the ratio 2:1. Find the length of these two adjacent side.

A
6 cm, 3 cm
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B
4 cm, 2 cm
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C
8 cm, 4 cm
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D
10 cm, 5 cm
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Solution

The correct option is C 8 cm, 4 cm


Given ABCD is a parallelogram, with two adjacent sides AB and BC being in the ratio 2:1 and its perimeter being 24 cm.

Let the length of side AB and BC be 2x and x respectively.

Since the opposite sides of a parallelogram are equal,

AB= CD = 2x cm and BC = AD = x cm

Now, perimeter = 24 cm

AB + BC + CD + AD = 24 cm

2x + x + 2x + x = 24 cm

6x = 24 cm

x = 4 cm

The length of the adjacent sides AB and BC are 8 cm and 4cm respectively.

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