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

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) (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) (Show Source): You can put this solution on YOUR website!
The area of the right triangle is
Where a and b are the legs of the right triangle
The shortest side ft., the middle length side ft.
Therefore the area is

Use FOIL method to open the brackets

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