SOLUTION: Please help me solve this equation.The difference between the areas of 2 rectangles is 8.The area of the smaller rectangle decreased by 4 is the same as 3/4 of the area of the larg

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Question 327062: Please help me solve this equation.The difference between the areas of 2 rectangles is 8.The area of the smaller rectangle decreased by 4 is the same as 3/4 of the area of the larger one.Find the areas of the given rectangles.
Answer by stanbon(75887) About Me  (Show Source):
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Please help me solve this equation.The difference between the areas of 2 rectangles is 8.The area of the smaller rectangle decreased by 4 is the same as 3/4 of the area of the larger one.Find the areas of the given rectangles.
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Equations:
A - B = 8
B-4 = (3/4)A
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Rearrange:
A = B+8
4B-16 = 3A
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Substitute for A and solve for "B":
4B-16 = 3(B+8)
4B-16 = 3B+24
B = 40 sq units (area of the smaller rectangle)
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Since A = B+8, A = 48 sq units (area of the larger rectangle)
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Cheers,
Stan H.
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