## Algebra 1

$(3x+6)(x+6)-3x^2$ = 396 $24x+36 = 396$ width is 15 feet, length is 45 feet
length = 3x width = x 3 foot barrier all around $(3x+3+3)(x+3+3)$ $(3x+3+3)(x+3+3)$ $(3x+6)(x+6)$ is area of entire space $3x*x = 3x^2$ is area of pavilion $(3x+6)(x+6)-3x^2$ $3x^2+18x+6x+36-3x^2$ $24x+36$ $24x+36 = 396$ $24x+36-36 = 396-36$ $24x = 360$ $24x/24 = 360/24$ $x = 15$