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WINSTONCH [101]
3 years ago
15

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

Mathematics
2 answers:
sp2606 [1]3 years ago
6 0

Answer:

The answer is the option A

0.5\ ft

Step-by-step explanation:

Let

x-------> the width of the border

we know that

The total area of the window plus the border is equal to

A=2*4+7=15\ ft^{2}

(2+2x)(4+2x)=15\\2*4+2*2x+2x*4+2x*2x=15\\8+4x+8x+4x^{2}=15\\4 x^{2}+12x-7=0

Using a graphing tool -----> to resolve the quadratic equation

see the attached figure

The solution is

x=0.5\ ft

Anuta_ua [19.1K]3 years ago
3 0
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)=0,5

A
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