The dimensions of a rectangular dining room are 18 feet by 16 feet. if a scale factor of 1/4 is used to make a scale model of the dining room, what is the area of the dining room in the scale model?

Since the dimension of the scale model is fourth of dimensions of the room, divide by 4 the given dimensions.

                  new dimensions:
                              = 18 ft / 4 = 9/2 ft
                               = 16 ft / 4 = 4 ft

The area is calculated by multiplying the dimensions,
                       Area = (9/2 ft)(4 ft) = 18 ft²

Therefore, the area of the scale model is equal to 18 ft².