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Question

A square and a rectangular field with measurements as given in the figure have the same perimeter. Find the width of the rectangular field.

A
30 m
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B
50 m
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C
60 m
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D
40 m
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Solution

The correct option is D 40 m
Pgiven that the perimeter of both the shapes are equal.

=> Perimeter of the square = Perimeter of the rectangle

=> 4 × s = 2 (l + b)

=> 4 × 60 = 2 (80 + b)

=> 240 = 160 + 2b

=> 2b = 80 m

=> b = 40 m

Hence the width of the rectangle is 40 m.

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