A rectangular garden has a perimeter of 92 feet. If the length of the garden is 1 foot greater than twice its width, what is the length of the garden in feet?

Question

lilg132 · Answer

length = 2x + 1
width = x
perimeter = 2(2x + 1) + 2x

92 = 2(2x + 1) + 2x

92 = 4x + 2 + 2x

92 - 2 = 6x

90 = 6x

90 / 6 = 6x / 6

15 = x

width = 15

length = 2(15 + 1)
length = 30 + 1
length = 31

perimeter = 2(31) + 2(15)
perimeter = 62 + 30
perimeter = 92

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anonymous · Answer

great, thanks a lot.