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Question

Half the perimeter of a rectangular garden, whose length is 8 m more than its width, is 40 m. Find the dimensions of the garden.

A
Length = 24m, Breadth = 16m
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B
Length = 20m, Breadth = 18m
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C
Length = 24m, Breadth = 20m
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D
Length = 40m, Breadth = 36m
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Solution

The correct option is A Length = 24m, Breadth = 16m
Let the length of the garden be x and the breadth be y.

Then, half the perimeter =12×2(x+y)=40

x+y=40(1)

Also given, length of garden is 8m more than its width.

xy=8(2)

Adding (1) and (2),

2x=48x=24

Substituting x=24 in (2),

24y=8y=16

The length is 24 m and breadth is 16 m.

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