A rectangular garden is fenced on all sides with 248 feet of fencing. The garden is 6 feet longer than it is wide. Fine the length and width of the garden

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Mathematics

Heidi Spence

6 August, 12:35

A rectangular garden is fenced on all sides with 248 feet of fencing. The garden is 6 feet longer than it is wide. Fine the length and width of the garden

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Anne Mcdaniel · Answer 1

The total length of the fencing is 248 ft; we call this the "perimeter" of the garden. Since P = 2W + 2L in general, here:

P = 248 ft = 2W + 2 (W+6), or 248 ft = 4W + 12.

Subtracting 12 from both sides of this equation: 236 ft = 4W. Then W = 59 ft, which means that L = 65 ft.