Q. 54.2( 312 Votes )

# 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 :

Let the length and breadth of garden be 'x' and 'y' respectively.

Given,

Half the perimeter is 36 m

We know perimeter of Rectangle = 2(length + breadth)

Half the perimeter = x + y

⇒ x + y = 36

⇒ x = 36 - y [1]

Also, Length is 4 m more than width

⇒ x = y + 4 [2]

From [1] and [2], we have

36 - y = y + 4

⇒ 2y = 32

⇒ y = 16

Putting in [1], we have

⇒ x = 36 - 16 = 20

Hence, Length and Breadth of garden are 20 m and 16 m respectively.

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