Q6 of 40 Page 86

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

Let l be the length and b be the breadth

l = b + 4


l-b = 4


Perimeter = 2(l + b)


× 2(l + b) = 36 (given)


l-b = 4 ……I


l + b = 36 ….II


adding eq. I and II


⇒ 2l = 40


⇒ l = = 20m


Substitute l = 20 in(1)


l-b = 4


20-b = 4


b = 20-4 = 16m


Length = 20 m


Width = 16 m


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