SOLUTION: A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 4y ft. and the middle length side x + 6y ft. What is an algebraic expr

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Question 403684: A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 4y ft. and the middle length side x + 6y ft. What is an algebraic expression for the area of the garden?
Answer by nerdybill(6951) About Me  (Show Source):
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A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 4y ft. and the middle length side x + 6y ft. What is an algebraic expression for the area of the garden?
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area = (1/2)base*height
area = (1/2)(x-4y)(x+6y)
area = (1/2)(x^2+6xy-4xy-24y^2)
area = (1/2)(x^2+2xy-24y^2)
area = (x^2)/2+xy-12y^2