Question

The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of One-fourth is used to make a scale model of the dining room, what is the area of the dining room in the scale model? 18 square feet 36 square feet 48 square feet 72 square feet

Answer 1

Step-by-step explanation:

area of room = 288 ft^2

areas of similar figures area proportional to the square of their sides

so the area of the model is (1/4)^2 or 1/16 of the original area = (1/16)(288)

= 18 ft^2

or

sides of the model:

length = (1/4)(18) = 4.5

width = (1/4)(16) = 4

area of model = 4(4.5) or 18 ft^2