SOLUTION: Area of a rectangular window is to be 306 square centimeters. If the length exceeds the width by 1 cm, what are the dimensions?

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Question 547665: Area of a rectangular window is to be 306 square centimeters. If the length exceeds the width by 1 cm, what are the dimensions?
Found 2 solutions by edjones, mananth:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
L=w+1
L*w=306
w(w+1)=306
w^2+w=306
w^2+w-306=0
(w-17)(w+18)=0
w=17 cm, L=18 cm
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Ed

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Width of window = 1 x cm
length of window = x+ 1 cm
Area of retangle = Length * width
Area = 306 Cm^2

x(x+ 1 ) = 306

X^2 + 1 x * 1 + 1 )

X^2 + 1 x -305 = 0
x^2+18x-17x-305=0
x(x+18)-17(x+18)=0
(x-17)(x+18)=0
x=17 which is positive
the dimensions are 17 & 18