SOLUTION: A vacant rectanglar lot is been turned into a community vegetable garden measuring 15m.by 12m. with a path of uniform width surrounding the garden. if the area of the lot is 378sq.

Question 211672: A vacant rectanglar lot is been turned into a community vegetable garden measuring 15m.by 12m. with a path of uniform width surrounding the garden. if the area of the lot is 378sq.m. find the width of the path surrounding the garden. quadratic equation
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
(15 + 2w)(12 + 2w) = 378

180 + 54w + 4w^2 = 378

4w^2 + 54w - 198 = 0 ___ 2w^2 + 27w - 99 = 0

(2w + 33)(w - 3) = 0

2w + 33 = 0 ___ w = -33/2 ___ negative value not realistic

w - 3 = 0 ___ w = 3
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