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).

Algebra ->  Polynomials-and-rational-expressions -> 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).      Log On


   

Question 203081: 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 jsmallt9, dyakobovitch:
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Area of a rectangle is (length)*(width). And you are given that the length is (2x-1) and the width is (x-2). So
A%28x%29+=+%282x-1%29%28x-2%29+=+2x%5E2+-5x+%2B2

A%285%29+=+2%285%29%5E2+-+5%285%29+%2B+2+=+2%2825%29+-+5%285%29+%2B+2+=+50+-+25+%2B+2+=+27

Answer by dyakobovitch(40) About Me  (Show Source):
You can put this solution on YOUR website!
A(x)=LW=(2x-1)(x-2)=2x^2-5x+2
A(5)=2(5)^2-5(5)+2=27
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David