SOLUTION: 1. Which has the greater area, a square with sides x + 1 units long or a rectangle with lengths x + 2 units and width x units? How much greater?

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Question 507063: 1. Which has the greater area, a square with sides x + 1 units long or a rectangle with lengths x + 2 units and width x units? How much greater?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the square with sides of (x+1) is:
A%5Bs%5D+=+%28x%2B1%29%28x%2B1%29
A%5Bs%5D+=+x%5E2%2B2x%2B1
The area of the rectangle with sides (x+2) and (x) is:
A%5Br%5D+=+%28x%2B2%29%28x%29
A%5Br%5D+=+x%5E2%2B2x
Subtract the area of the rectangle from the area of the square:
x%5E2%2B2x%2B1
-(x%5E2%2B2x)
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1 The area of the square is larger by 1 square unit.