## Algebra 1

$24x+144$
Subtract the area of the blue square from the total area of the rug to find the area of the green band. The blue square has a side length of x. The rug has a side length of x+12. Remember that the square of a binomial is the square of the first term, plus twice the product of the two terms, plus the square of the second term. $(x+12)^2-x^2\longrightarrow$ square the binomial =$x^2+24x+144-x^2\longrightarrow$ combine like terms =$24x+144$