SOLUTION: Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x-2y ft. and the middle length side x+4yft. What is

Algebra ->  Triangles -> SOLUTION: Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x-2y ft. and the middle length side x+4yft. What is       Log On


   



Question 628530: Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x-2y ft. and the middle length side x+4yft. 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.
_______________________________________________________________________________
|\
Here is what I have done before I got lost: a|_\c
b a^2 +b^2=c^2
formula
I guess you would have to subtract the shortest side from the middle.
Can a tutor please help me, without yelling at me or calling me a lier.
Thank you for your help. I really appreciate any and all your help.

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-2y ft.and the middle length side x+4y 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.
:
Area of a triangle = 1%2F2*height*base (we don't care about the hypotenuse)
In a right triangle, one side is the base and the other is the height
therefore:
:
A = 1%2F2*%28x-2y%29%2A%28x%2B4y%29
FOIL
A = 1%2F2*x%5E2+%2B+4xy+-+2xy+-+8y%5E2
:
A = 1%2F2*x%5E2+%2B+2xy+-+8y%5E2 sq/ft