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Question

If area of the parallelogram ABCD is 56 m2, find the perimeter.

A
44 m
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B
56 m
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C
60 m
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D
98 m
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Solution

The correct option is A 44 m
Given, area of parallelogram = 56 m2,
height of the parallelogram = EB = 7 m
and side AB = 14 m

Here, if we consider AD as the base then EB is the corresponding height.

Area of the parallelogram = base × height
56 = AD × 7
So, AD = 8 m

Hence, lengths of the sides of the parallelogram are 8 m, 14 m, 8 m and 14 m.
Therefore, perimeter = sum of all sides
= 8 + 14 + 8 + 14
= 2 (14+8)
= 2 (22)
= 44 m

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