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Question

The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.

A
98 m2
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B
224 m2
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C
63 m2
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D
108 m2
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Solution

The correct option is A 98 m2

Let the breadth of rectangle be x m.
Length = 2x m

Perimeter = 2 (length + breadth)
Perimeter = 2(x + 2x) = 42 m

6x=42 m
3x = 21 m
On solving, we get
x = 7 m

Breadth = 7 m
Length = 14 m

Area = length × breadth
= 14×7
Area = 98 m2


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