SOLUTION: a rectangle of length x and width 4 is cut out of a rectangle of length x+9 and width x. Find the area of the resulting shape, if all dimensions are in meters?

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Question 173066: a rectangle of length x and width 4 is cut out of a rectangle of length x+9 and width x. Find the area of the resulting shape, if all dimensions are in meters?
Answer by stanbon(75887) (Show Source):
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a rectangle of length x and width 4 is cut out of a rectangle of length x+9 and width x. Find the area of the resulting shape, if all dimensions are in meters?
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Draw the picture of the rectangle inside a larger rectangle.
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The inner rectangle has an area of 4x sq.meters.
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The larger rectangle (including the inner rectangle) has
area = x(x+9) = x^2+9x sq meters.
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EQUATION:
Area you want = larger area - smaller area
A = x^2+9x - 4x
A = x^2+5x
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Cheers,
Stan H.