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 lengt

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 lengt      Log On


   

Question 144234: 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=2x-5


Since the length is "10 feet longer than the width", this means that L=W%2B10=%282x-5%29%2B10=2x%2B5


So to find the area, use this formula

A=L%2AW


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


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


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


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