Question 565610
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
{{{(2x^2+x-10)/(2x+5)}}}
Factor the numerator
{{{((2x+5)(x-2))/(2x+5)}}}
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: {{{x^3 + 3x^2y - 32xy^2 + 64y^3}}} sq/ft, you better check this yourself