A rectangular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window

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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?

A. 0.5ft
B. 1.5 ft
C. 2.5 ft
D. 3.5 ft
A rectangular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window
Answer:

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

4x^2+12x=7
4x^2+12x-7=0
D=12^2-4×4×(-7)=256
x1=(-12-16)/(2×4)=-3,5 (impossible)
x2=(-12+16)/(2×4)=0.5ft

the answer is A. 0.5ft



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