SOLUTION: A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 7y ft. and the middle length side x + 6y ft. What is an algebraic expr

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 7y ft. and the middle length side x + 6y ft. What is an algebraic expr      Log On


   

Question 622300: A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 7y 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.
Found 2 solutions by Emsley, Tatiana_Stebko:
Answer by Emsley(35) About Me  (Show Source):
You can put this solution on YOUR website!
Nether of these is the longest side (the hypotenuse)so as it is a right triangle we can take one side as the base and the other as the height
So area=1/2(x-7y)(x+6y)=1/2(x^2-xy-42y^2) sq.ft

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the right triangle is A=%281%2F2%29+ab
Where a and b are the legs of the right triangle
The shortest side a=x-7y ft., the middle length side b=x+%2B+6y ft.
Therefore the area is
A=%281%2F2%29%28x-7y%29%28x%2B6y%29
Use FOIL method to open the brackets
ft%5E2