SOLUTION: Mario is constructing a frame for a 10 in. by 8
in. photo. He wants the frame to be the same
width all the way around and the total area of
the frame and photo to be 120 square
Question 1057398: Mario is constructing a frame for a 10 in. by 8
in. photo. He wants the frame to be the same
width all the way around and the total area of
the frame and photo to be 120 square inches.
What is the dimension of the frame? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Mario is constructing a frame for a 10 in. by 8
in. photo. He wants the frame to be the same
width all the way around and the total area of
the frame and photo to be 120 square inches.
What is the dimension of the frame?
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Draw a rectangle inside a rectangle.
The inner rectangle is the photo: area = 10*8 = 80 in^2
Area of the frame is 120-80 = 40 in^2
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Let the width of the frame be "x".
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Equation:
(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30
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x^2 + 9x - 10 = 0
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(x+10)(x-1) = 0
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x = 1 inch
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Ans: Width of frame = 1 in
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Cheers,
Stan H.
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