An architect

An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the length of a tile in the model to the length of the actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile?

Correct answer:

k1 =  1:16
k2 =  1:288

Step-by-step explanation:

a=1/2=21=0.5 inch b=1/6=610.1667 inch  a2=2/3=320.6667 ft b2=2/8=41=0.25 ft  x=a2 inch=a2 12  inch=0.6667 12  inch=8 inch y=b2 inch=b2 12  inch=0.25 12  inch=3 inch  k1=a/x=0.5/8=161=0.0625=0.0625=1:16   Verifying Solution:  K1=b/y=0.1667/3=1810.0556 K1=k1
S1=a b=0.5 0.1667=1210.0833 inch2 S2=x y=8 3=24 inch2  k2=S1/S2=0.0833/240.0035=1:288

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Showing 1 comment:
Math student
6/8 x 5 in a model way


Tips to related online calculators
Check out our ratio calculator.
Do you want to convert area units?
Do you want to convert length units?

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: