Final answer:
The area of a rectangle that is four times as long as it is wide, with w representing the width, can be expressed as the formula Area = 4w^2 ft^2.
Step-by-step explanation:
To express the area of a rectangle in terms of the indicated variable when the rectangle is four times as long as it is wide, we can use the formula for the area of a rectangle, which is Area = length × width. If the width is w feet, the length is 4 times the width, which means the length is 4w feet. Thus, the formula for the area in terms of w is:
Area = length × width
Area = (4w) × w
Area = 4w^2 ft^2