SOLUTION: This one has twisted my mind, can anyone explain? Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side lengt

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Question 383109: This one has twisted my mind, can anyone explain?
Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 6y ft. and the middle length side x + 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out and express in simplest correct mathematical form, including units.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A gardener wants to create a triangular garden in the shape of a right triangle
with shortest side length x – 6y ft. and the middle length side x + 6y ft.
What is an algebraic expression for the area of the garden?
:
The area of a right triangle A = .5*b*h
where
b = (x+6y)
h = (x-6y)
:
A = .5*(x+6y)(x-6y)
FOIL
A = .5(x^2 - 36y^2
A = .5x^2 - 18y^2 ft