A rectangle is 6 centimeters longer than is wide and has an area of 280 square centimeters if l represent the length, in centimeters of the rectangle solving which of the following formulas will give the correct value for l?

Question

Rambo

Mathematics

26 June, 10:43

A rectangle is 6 centimeters longer than is wide and has an area of 280 square centimeters if l represent the length, in centimeters of the rectangle solving which of the following formulas will give the correct value for l?

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Answers (2)

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Cindy Shepard · Answer 1

L = w+6

a = 280 = w * (w+6)

280 = w^2 + 6w.

0 = w^2 + 6w - 280

w^2 + 20w - 14w - 280

(w^2 + 20w) - (14w-280)

w (w + 20) - 14 (w + 20)

0 = w - 14 OR 0 = w + 20

-20=w OR 14=w

14 must be the answer, you cannot have negative width. Ergo, length = 20.

Width + 6, 14 + 6, 20 = length

Liana Huerta · Answer 2

A = L * W

W = L - 6

280 = L (L - 6) or 280 = L^2 - 6L