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

Given one side of the garden is x feet long.

So, let's assume length = x

He plans to use 120 feet of fencing. Fencing means the perimeterof the rectangle.

So, p = 120

2 *length + 2* width = 120

2x + 2 *width = 120

2x + 2* width - 2x = 120 -2x Subtract 2x from each sides of the equation.

2* width = 120 - 2x

Width = 60 - x Divide each sides by 2 to isolate width.

Now area of the rectangle will be:

Area = Length * width

= x * (60-x)

So, the model to find the area of the rectangle is x(60 -x) square feet.

Hope this helps you!