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Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Q5.    Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

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Let l be the length of the rectangular garden and b be the width.

Now, According to the question, the length is 4 m more than its width.i.e.

l=b+4

l-b=4....(1)

Also Given Half  Parameter of the rectangle = 36 i.e.

l+b=36....(2)

Now, as we have two equations, on adding both equations, we get,

l+b+l-b=4+36

\Rightarrow 2l=40

\Rightarrow l=20

Putting this in equation (1),

\Rightarrow 20-b=4

\Rightarrow b=20-4

\Rightarrow b=16

Hence Length and width of the rectangle are 20m and 16 respectively.

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