Question

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long?

Answer 1

Well we set the perimeter to 120 feet.
This means that 2x+2y=120
Now we know the area of a rectangle is xy so we have to solve for both x and y in the perimeter equation.

2x=120-2y
x=60-y

2y=120-2x
y=60-x

Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)

Answer 2

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long? A. y=(60-x)(x)