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 203084: 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 checkley77, jsmallt9:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(2x-1)(x-2)=2x^2-x-4x+2=2x^2-5x+2
2x^2-5x+2=5
2x^2-5x-3=0
(2x+1)(x-3)=0
x-3=0
x=3
2*3-1=6-1=5 is the length of the pool.
3-1=2 is the width of the pool.
Proof:
(2*3-1)(3-2)=5
(6-1)(3-2)=5
5*1=5
5=5

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Finding A(5) does not mean find the rectangle which has an area of 5. It means find the area of the rectangle when x = 5. So I believe another tutor's solution to your problem is incorrect for this part of the problem.

See my solution