Question

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.

Answer 1

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