SOLUTION: I do not understand how to do this problem. Swimming space. The length of a rectangular swimming pool is 2x – 1 meters, and the width is x + 2 meters. Write a polynomial that

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I do not understand how to do this problem. Swimming space. The length of a rectangular swimming pool is 2x – 1 meters, and the width is x + 2 meters. Write a polynomial that       Log On


   

Question 146316: I do not understand how to do this problem.
Swimming space. The length of 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.
Found 3 solutions by oscargut, checkley77, edjones:
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangular swimming pool is 2x – 1 meters, and the width is x + 2 meters.
P(x)=(2x-1)(x+2)=2x^2+3x-2
then if x=5 P(x)=50+15-2=63 m2

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
area=(2x-1)(x+2)
area=2x^2+3x-2
if x=5 then:
area=2*5^2+3*5-2
area=2*25+15-2
area=50+15-2
area=63 m^2 is the area of the pool.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
L*w=A
L=2x-1
w=x+2
A=(2x-1)(x+2)
=2x^2+3x-2 Polynomial that represents the area. (FOIL)
=2*5^2 + 3*5 - 2
=50+15-2
=63 m^2 when x=5
.
Ed