SOLUTION: 1.Essay: Show all work. The area of a rectangular swimming pool is given by 2x^2+x-10 ft^2. One side length of the pool is given by 2x + 5 feet. What is an algebraic expression for

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Question 565610: 1.Essay: Show all work. The area of a rectangular swimming pool is given by 2x^2+x-10 ft^2. One side length of the pool is given by 2x + 5 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.
2.Essay: Show all work. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + 8y inches, the other side should be x^2-5xy+8y^2inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
1.The area of a rectangular swimming pool is given by 2x^2+x-10 ft^2.
One side length of the pool is given by 2x + 5 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.
:
The other side will be the area, divided by the given side

Factor the numerator

2x+5's cancel leaving you with
(x-2) ft is the other side
:
:
A school designer wants to create a whiteboard with the optimal dimensions to enhance learning.
It is determined that if one side of the whiteboard is x + 8y inches, the other side should be x^2-5xy+8y^2 inches.
Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.
:
Multiply the two sides to get the area
x^2 - 5xy + 8y^2
. . . . . . x + 8y
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After some tedious math, I got: sq/ft, you better check this yourself