SOLUTION: A picture is 5cm longer than it is wide. It is in a frame that has a width of 4cm. The area of the frame alone is 344cm squared. Find the dimensions of the picture. List steps
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-> SOLUTION: A picture is 5cm longer than it is wide. It is in a frame that has a width of 4cm. The area of the frame alone is 344cm squared. Find the dimensions of the picture. List steps
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Question 259622: A picture is 5cm longer than it is wide. It is in a frame that has a width of 4cm. The area of the frame alone is 344cm squared. Find the dimensions of the picture. List steps Found 2 solutions by stanbon, StarPhone:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A picture is 5cm longer than it is wide. It is in a frame that has a width of 4cm. The area of the frame alone is 344cm squared. Find the dimensions of the picture. List steps
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Draw the picture of a rectangle inside a rectangle.
Let the width of the picture be "x".
Then length of the picture is "x+5".
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Area of the picture is x(x+5) = x^2 + 5x
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Outside rectangle has a width of x+8
Outside rectangle has a length of x+5+8 = x+13
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Total Area of the outside rectangle including the picture
is (x+8)(x+13) = x^2 + 21x + 104
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Equation:
Total area - picture area = fram area = 344
x^2 + 21x + 104 -(x^2+5x) = 344
16x + 104 = 344
16x = 240
x = 15
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Width of the picture = x = 15 cm
Length of the picture is "x+5" = 20 cm
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Cheers,
Stan H.
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