What is the length and width of a perimeter 1500 ft.²

Step-by-step explanation:

To answer this question we must know either the length or the width.

The formula for the perimeter of a rectangle is P = 2L + 2W.

If the perimeter is 1500 ft (not ft²), then 1500 ft = 2L + 2W.

At this point we could solve for either L or W, but not both simultaneously.

If we decide to solve for W as a function of L, we get:

1500 ft = 2L + 2W  =>  750 ft = L + W  => W = 750 ft - L

If we decide to solve for L as a function of W, we get L = 750 ft - W