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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