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.

A

Length is 30 m and Breadth is 15 m

B

Length is 20 m and Breadth is 16 m

C

Length is 40 m and Breadth is 30 m

D

Length is 45 m and Breadth is 18 m

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ANSWER

Let the width of the garden =x meter

Then length=(x+4) meter

Half perimeter =36 m

So perimeter of garden =(2×36)=72 meters

According to the question

⇒2(l+b)=72

⇒2(x+x+4)=72

⇒2x+2x+4=74⇒4x=64⇒x=16 meters

Hence,the width of the garden =16 meters

The length of the garden =(16+4)=20 meters

Hope this helps:)