Antonio is building a 1:240 scale model of a real castle. His model has a rectangular base that is 2.5 feet wide and 2 feet long. What is the area of the base of the actual castle in square feet?

2.5 feet wide = actual width / 240

2 feet long = actual length / 240

2.5 * 240 = 600

2 * 240 = 480

480 x 600 = 288,000

The area of the base of actual castle is 288,000 square feet.

The right approach to this problem is to first determine the real dimension by using the given scale factor.

width : (2.5 ft) x 250 = 625 ft

length: (2.0 ft) x 250 = 500 ft

The area of a rectangle is calculated by multiplying the length and the width.

A = (625 ft) (500 ft) ] = 312,500 ft²

Thus, the area of the actual castle in square feet is 312,500.