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yKpoI14uk [10]
3 years ago
10

You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. Wh

at is the width of the frame?
​

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Answer:  c) 3.2 inches

<u>Step-by-step explanation:</u>

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}

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