I know there must be an equation to do this, but there is a simpler way.
Just factor number 72 into two numbers which, when multiplied, equal 72. Two of such numbers are 9 and 8, and you can see that the difference between those two numbers is just 1. So that is the answer to your question - the length of the patio is 9 feet, whereas the width is 8 feet.
1. incorrect
2. correct
3. incorrect (?)
E=6
f=8
H=12
h=?
a=?


a=5


h=12.25
Area=0.5*e*f+4*a*h*0.5=0.5*6*8+4*0.5*5*12.25=146.5