confusedmathguy: patio with an area of 150 square feet
two equations:
l*w=150 (area formula length*width)
confusedmathguy: length to be 6 feet longer than the width
l=6+w
[input]solve( l*w=150, l=6+w)[/input]
length=15.6
width=9.6
test:
[input]15.6feet*9.6feet in feet^2[/input]