SOLUTION: the perimeter of a square is 8x+24 units. What is its area?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the perimeter of a square is 8x+24 units. What is its area?      Log On


   

Question 195644This question is from textbook Algebra1
: the perimeter of a square is 8x+24 units. What is its area? This question is from textbook Algebra1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P=4s Start with the perimeter of a square formula


8x%2B24=4s Plug in P=8x%2B24


4%282x%2B6%29=4s Factor out 4 from the left side


2x%2B6=s Divide both sides by 4.


s=2x%2B6 Rearrange the terms.


A=s%5E2 Move onto the formula for the area of a square.


A=%282x%2B6%29%5E2 Plug in s=2x%2B6


A=4x%5E2%2B24x%2B36 FOIL


So the area is 4x%5E2%2B24x%2B36