Carol has 1100 feet of fencing to fence in a rectangular horse corral

Find a function that models the area A of the corral in terms of the width x of the corral A(x)

1 answer

To calculate the area of a rectangular corral, we need to know the length and width. However, in this case, we only have the width (x) and the amount of fencing available (1100 feet).

We can determine the length by subtracting the twice the width from the total available fencing. Since the fence around the corral has four sides and each side has a length equal to the width, twice the width is required to account for each side.

Therefore, the length (L) can be expressed as: L = 1100 - 2x.

The area (A) of the corral can be calculated by multiplying the length and width: A = x(L) = x(1100 - 2x).

Hence, the function that models the area A of the corral in terms of the width x is: A(x) = x(1100 - 2x).