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WINSTONCH [101]
4 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]4 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]4 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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DochEvi [55]

Lets break it down:

The bottom right picture shows an approximation of what 1 wingspan length is, and the goal is to <u>estimate </u>lengths.

A. 1 wing is approx. 7 meters. To find the wingspan of the plane just do 7 meters multiplied by 2 = 14 meters (approx wingspan). Now we convert (remember, to the nearest foot!)

14 meters = 45.93 ft

Round it to the nearest foot = 46 ft is your approx. wingspan.

B. The height. This is one is a little tricky! Lets try to use what we know:

1 wing is approx. 7 meters. Since these are approximations, lets say half of one wing is <u>roughly</u> the size of the height of the plane. Since these are approximations I'd say 4 meters.

4 meters = 13 ft (rounded).

<em>I checked online for the specs of the Lysander and the exact height is 14 ft 6 in and wingspan is 50 ft. </em>This means our approximations were correct!

C. The length would be 10 ft + 7 meters

10 ft = 3 meters (rounded)

3 meters + 7 meters = 10 meters

<em>(converting to meters then to ft at the end because it's less messy)</em>

10 meters = 33 ft (rouned)

length of the Lysander is approx. 33 ft!

(the real length is 30 ft 6 in)

This means our approximations were correct once more.

Hopefully this helped you and made your night/day easier.



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