# SOLUTION: Hello, I need help solving this problem: A rectangle is 6 centimeters wide and 9 centimeters long. If the length and width are increased by the same amount, the area is

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 Question 94499: Hello, I need help solving this problem: A rectangle is 6 centimeters wide and 9 centimeters long. If the length and width are increased by the same amount, the area is increased by 100 square centimeters. Find the new dimensions. Thank youAnswer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!9*6=54 ... (9+x)(6+x)=54+100 ... 54+9x+6x+x^2=154 ... x^2+15x-100=0 factoring gives (x+20)(x-5)-0 ... x+20=0 ... x=-20 ... x-5=0 ... x=5 new dimensions are 6+5=11 and 9+5=14