Question

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?

Answer 1

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.