Question
The dimensions of a rectangle 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?
A.18 square feet
B.36 square feet
C.48 square feet
D.72 square feet
A.18 square feet
B.36 square feet
C.48 square feet
D.72 square feet
Answers
Reiny
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
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
Anonymous
36