Homework Help: Math

Posted by Milen on Friday, July 27, 2012 at 5:57am.

Stalls in a particular market occupy a 3 m by 2m spaces. The stall owners requested that the area of their stalls be doubled. The market owner granted this request by increasing the length and the width equally. What are the new dimensions of the stalls?

Math - Reiny, Friday, July 27, 2012 at 2:38pm
old area = 2x3 = 6
new area = double the old = 12
(2+x)(3+x) = 12
x^2 + 5x + 6 - 12 = 0
x^2 + 5x - 6 = 0
(x+6)(x-1) = 0
x = 1 or x = -6, which of course makes no sense

each dimension is increased by 1 m

check: new stall is 3 by 4 for a total of 12 m^2

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