Question

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An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the​ garden, find the dimensions of the garden. The length of the garden is ? feet.

Answer 1

84ft

Explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

L = (3×280)÷10

L= 84 feet