SOLUTION: A rectangular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The width of the border is equal and was made out of 7

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Question 954524: A rectangular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The width of the border is equal and was made out of 7 square feet of clear glass. What is the width of the border?
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
Area of window=2ft*4ft=8 sq ft
Area of window + border=8 sq ft+7 sq ft=15 sq ft
x=width added to width and length
border width=(1/2)x


Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=64 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -7. Here's your graph:

ANSWER:Border=(1/2)x=(1/2)1ft=6 inches. .The width of the border is 6 inches.




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