Joe made a rectangular garden the perimeter of the garden is 27ft and area is 35ft^2 find the length and with of garden

Question

Mathematics

Lincoln Thomas

27 September, 00:33

Joe made a rectangular garden the perimeter of the garden is 27ft and area is 35ft^2 find the length and with of garden

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Answers (1)

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Georgia Rodriguez · Answer 1

Area = length (L) * Width (W)

Perimeter = (2*L) + (2*W)

L*W = 35

W = 35/L

2L + 2W = 27

L+W = 13.5

L + 35/L = 13.5

L^2 + 35 = 13.5L

L^2 - 13.5L + 35 = 0

(L - 10) (L - 3.5) = 0

L = 10 ft or L = 3.5 ft

LW = 35

If L = 10 ft

W = 3.5 ft