SOLUTION: I have difficulties with word problems and could use some help with the following problem. Thank you! Essay: Show all work. A gardener wants to create a triangular garden in the

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have difficulties with word problems and could use some help with the following problem. Thank you! Essay: Show all work. A gardener wants to create a triangular garden in the      Log On


   



Question 673529: I have difficulties with word problems and could use some help with the following problem. Thank you!
Essay: Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with shortest side x-4y ft. and the middle length side x+6y ft. What is the algebraic expression for the area of the garden? Be sure to multiply this out and express in simplist correct mathematical form, including units.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Area of a triangle A=+%281%2F2+%29+b+%2A+h
shortest side x-4y ft. and the middle length side x%2B6y ft; note that one of them could be base b and another one could be h...whatever you choose works
A=+%281%2F2+%29+%28x-4y%29ft+%2A+%28x%2B6y%29ft
A=+%281%2F2+%29+%28x%5E2%2B6xy-4xy-24y%5E2%29ft%5E2+
A=+%281%2F2+%29+%28x%5E2%2B2xy-24y%5E2%29ft%5E2+
A=++%28%281%2F2%29x%5E2%2Bxy-12y%5E2%29ft%5E2+