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 – 8y ft. and the middle length side x + 6y ft. Wha

Algebra ->  Polynomials-and-rational-expressions -> 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 – 8y ft. and the middle length side x + 6y ft. Wha      Log On


   

Question 461459: Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 8y 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 stanbon(75887) About Me  (Show Source):
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Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 8y 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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The given sides are the legs of the right triangle.
Area = leg1*leg2
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Area = (x-8y)(x+6y) sq. ft
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Area = x^2-8xy+6xy-48y^2
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Area = x^2-2xy-48y^2
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Cheers,
Stan H.