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 + 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.
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Area = 1/2bh
A = (1/2)(x - 2y)(x + 6y)
A = (1/2)(x^2 +6xy - 2xy - 12y^2)
A = (1/2)(x^2 + 4xy - 12y^2)
A = 1/2x^2 + 2xy - 6y^2 ft
A = (1/2)(x - 2y)(x + 6y)
A = (1/2)(x^2 +6xy - 2xy - 12y^2)
A = (1/2)(x^2 + 4xy - 12y^2)
A = 1/2x^2 + 2xy - 6y^2 ft