An architect designs a flower en such that the width is exac

An architect designs a flower en such that the width is exactly two-thirds of the length. If 330 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. What is the length of the garden? The length of the garden is ____ What is the width of the garden? The width of the garden is ____

Solution

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Let the length of garden be denoted by \'l\' nd width by \'w\' respectively.

Now as per question w = (2/3)l

Also perimeter of rectangle is given by P = 2(l + w)

Perimeter = length of fence required to enclose the garden

=> 2 (l + w ) = 330

2 (l + (2/3)l ) = 330

(10/3 )l = 330

l = 99 feet

w = (2/3) l

      = (2/3) (99)

= 66 feet

Solution