Question 180562
"area of outside edge of gravel path" - "area of garden" = 192
.
Let x = width of gravel path
then
(2x+15)(2x+11) - (15)(11) = 192
4x^2+22x+30x+165 - 165 = 192
4x^2+52x = 192
x^2+13x = 48
x^2+13x-48 = 0
factoring:
(x+16)(x-3) = 0
x = {-16, 3}
.
Tossing out the negative solution leaves us with:
width of path = 3 feet