SOLUTION: The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 177 cm^2, what is the length of the diagonal?

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Question 319429: The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 177 cm^2, what is the length of the diagonal?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
length be x
width = 2x-4
..
Area =177 cm^2
x(2x-4)=177
2x^2-4x-177=0
roots of the equation x1 x2 are
x1= -(-4)+sqrt(16+4*2*177) / 2*2
x1=10.46
x2= -(-4)-sqrt(16+4*2*177) / 2*2
x2=-8.46
..
length = 10.46cm
width = 16.92cm