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?

Question

Mathematics

Payton Santos

19 July, 15:10

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?

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Answers (1)

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Eva Morton · Answer 1

S=2 (4x+2x) + 4x^2=4x^2+12x

4x^2+12x=7

4x^2+12x-7=0

D=12^2-4x4x (-7) = 256

X1 = (-12-16) / (2x4) = - 3.5 impossible

X2 = (-12+16) / (2x4) = 0.5

A