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Half the perimeter of a rectangular garden, whose length is 4 m more than its width is 36 m. Length of the garden will be-
Question

Half the perimeter of a rectangular garden, whose length is 4 m more than its width is 36 m. Length of the garden will be-

A.

36 m

B.

20 m

C.

16 m

D.

32 m

Correct option is B

Given:

Half the perimeter = 36 m
Length = 4 m more than the width

Concept used:
Perimeter of a rectangle = 2(Length + Width)
Half perimeter = Length + Width

Formula used:
L + x = 36
L = x + 4

Solution:
Substitute L = x + 4 into the first equation:
x + 4 + x = 36
2x + 4 = 36
2x = 32
x = 16
L = x + 4 = 16 + 4 = 20

Correct answer is (B) 20 m.

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