SOLUTION: I have been working on this math problem and I can't figure out how to get the answer. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it

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Question 167130This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't figure out how to get the answer. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
Solve each problem. If there are two correct answers, give both of them.
The area of a right triangle is 44m^2. Find the lengths of its legs if one of the legs is 3m longer than the other. This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a right triangle is 44m^2. Find the lengths of its legs if one of the legs is 3m longer than the other.
:
Let x = length of one leg, also the base (b)
then
(x+3) = length of the other leg. Also the height (h)
:
1%2F2*b*h = Area
In this problem
1%2F2*x*(x+3) = 44
Get rid of the fraction, multiply both sides by 2
x(x+3) = 88
:
x^2 + 3x - 88 = 0; our old friend, the quadratic equation
Factor this to:
(x + 11)(x - 8) = 0
The positive solution:
x = +8
:
We don't consider the negative solution here.
:
Check solution by finding the area: A = .5(8*11) = 44