SOLUTION: Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the

Question 876196: Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?
(Points : 1)
14 m wide
15 m wide
16 m wide
17 m wide
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
(10+x)*(13+x) = 208

130+10x+13x+x^2 = 208

x^2+23x+130 = 208

x^2+23x+130-208 = 0

x^2+23x-78 = 0

(x-3)(x+26) = 0

x-3=0 or x+26 = 0

x = 3 or x = -26

Toss out the negative solution

x = 3 is the only practical solution

New Width: 10+x = 10+3 = 13

New Length: 13+x = 13+3 = 16
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