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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The length os a rectangular swimming pool is 2x -1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters.      Log On


   

Question 148003This question is from textbook Elementary and Intermediate Algebra
: The length os a rectangular swimming pool is 2x -1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters. This question is from textbook Elementary and Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, Area=length*width.

So A=LW


A=LW Start with the given equation.


A=%282x-1%29%28x%2B2%29 Plug in L=2x-1 and w=x + 2


A=2x%5E2%2B3x-2 Foil.


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


Now let's find the area if x is 5 meters.


A=2x%5E2%2B3x-2 Start with the area polynomial equation


A=2%285%29%5E2%2B3%285%29-2 Plug in x=5.


A=2%2825%29%2B3%285%29-2 Square 5 to get 25.


A=50%2B3%285%29-2 Multiply 2 and 25 to get 50.


A=50%2B15-2 Multiply 3 and 5 to get 15.


A=63 Combine like terms.


So the area is 63 square meters.