Question 628530
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 = {{{1/2}}}*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 = {{{1/2}}}*{{{(x-2y)*(x+4y)}}}
FOIL
A = {{{1/2}}}*{{{x^2 + 4xy - 2xy - 8y^2}}}
:
A = {{{1/2}}}*{{{x^2 + 2xy - 8y^2}}} sq/ft