Question

Essay. Show all work. A gardener wants to create a triangular garden in the shape of a right triangle with the shortest side length x-3y ft. and the middle length side x+6y ft. What ia 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 1

The "shortest length side" and the "middle length side" are the two perpendicular legs of a right triangle. For such a triangle, the area is 1/2 the product of the two shortest sides.

Now write that as an equation and do the rest.

You will be multiplying (x - 3y), (x + 6y), and a constant. The units will be square feet.