SOLUTION: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length       Log On


   

Question 183368: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let W=width and L=length

Since the width is the expression 2x-5, this means that W=2x-5

Also, because "the length of the sandbox is designed to be 10 feet longer than the width", this means that L=W%2B10

L=W%2B10 Start with the second equation


L=2x-5%2B10 Plug in W=2x-5


L=2x%2B5 Combine like terms.



------------------------------------------------


A=LW Move onto the area of a rectangle formula


A=%282x-5%29%282x%2B5%29 Plug in W=2x-5 and L=2x%2B5


A=%282x%29%282x%29%2B%282x%29%285%29-5%282x%29-5%285%29 FOIL the expression.


A=4x%5E2%2B10x-10x-25 Multiply


A=4x%5E2-25 Combine like terms.


===============================================

Answer:

So the polynomial that represents the area is A=4x%5E2-25