SOLUTION: The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial A(x) that represents the area. Find A(5).

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Question 323888: The length of a rectangular swimming
pool is 2x - 1 meters, and the width is x + 2 meters. Write
a polynomial A(x) that represents the area. Find A(5).
Found 2 solutions by Earlsdon, jim_thompson5910:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is given by:
A+=+L%2AW Substitute L+=+2x-1%29 and W+=+x%2B2
A%28x%29+=+%282x-1%29%28x%2B2%29 Expand the right side.
highlight%28A%28x%29+=+2x%5E2%2B3x-2%29 Substitute x+=+5
A%285%29+=+2%285%29%5E2%2B3%285%29-2 Evaluate.
A%285%29+=+2%2825%29%2B15-2
highlight%28A%285%29+=+63%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Area: A = LW

So A%28x%29=%282x-1%29%28x%2B2%29=2x%5E2%2B4x-x-2=2x%5E2%2B3x-2


So the area function is A%28x%29=2x%5E2%2B3x-2


Now to find A(5), just plug in x=5 and evaluate:


A%285%29=2%285%29%5E2%2B3%285%29-2=2%2825%29%2B3%285%29-2=50%2B15-2=63


So A%285%29=63