SOLUTION: Essay: Show all work. The area of a rectangular swimming pool is given by 2x^2 � 5x � 3 ft^2. One side length of the pool is given by 2x + 1 feet. What is an algebraic expression f

Question 585271: Essay: Show all work. The area of a rectangular swimming pool is given by 2x^2 � 5x � 3 ft^2. One side length of the pool is given by 2x + 1 feet. What is an algebraic expression for the other side length of the pool? Simplify this, and include correct units as part of your answer. Any and all help is greatly appreciated .. thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The area of a rectangular swimming pool is given by 2x^2 � 5x � 3 ft^2.
One side length of the pool is given by 2x + 1 feet.
What is an algebraic expression for the other side length of the pool?
:
A = L * W
L = A/W
:
L =
Factor, then cancel (2x+1)'s
L = = (x-3) ft is the Length
:
Prove this. FOIL
(2x+1)(x-3) = 2x^2 - 6x + x - 3 = 2x^2 - 5x - 3 sq/ft

RELATED QUESTIONS
Essay: Show all work. The area of a rectangular swimming pool is given by 2x^2 - 3x (answered by richard1234)

Essay: Show all work. The area of a rectangular swimming pool is given by 5x^2 + 31x + 6... (answered by jorel1380)

12.Essay: Show all work. The area of a rectangular swimming pool is given by 5x^2 - 31x - (answered by nerdybill)

Essay: Show all work. The area of a rectangular swimming pool is given by 4x^2 + 19x + 12 (answered by richard1234)

Essay: Show all work. The area of a rectangular swimming pool is given by3x^2+11x+6 ft^2... (answered by friesr)

This is so confusing, please help? Essay: Show all work. The area of a rectangular... (answered by ankor@dixie-net.com)

Essay: Show all work. The area of a rectangular swimming pool is given by 3x^2-2x-1ft^2.... (answered by mananth)

I really need help on this one please..I don't understand this at all.... Essay: Show... (answered by chessace)

Please help solve: Show all work: The area of a rectangular swimming pool is given by... (answered by MathLover1)