Question

An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length one half in.
and width one sixth in.
The actual tiles have length two thirds ft
and width two ninths ft
. What is the ratio of the length of a tile in the model to the length of an actual​ tile? What is the ratio of the area of a tile in the model to the area of an actual​ tile? Use pencil and paper. Describe two ways to find each ratio.

Answer 1

Ratio of Sides = 1/16   & Ratio of Area = 1/256

Step-by-step explanation:

In the​ model, each tile has length 1/2 inch  and width 1/6 inch

The actual tiles have length  2/3 ft  &  width 2/9 ft

1 ft = 12 inch

=> 2/3 ft  = 8 inch

2/9 ft  =  8/3 inch

ratio of the length of a tile in the model to the length of an actual​ tile

=   (1/2)/ (8)

= 1/16

or  Ratio of Width  = Ratio of length =  (1/6)/(8/3)  = 3/48  = 1/16

Ratio of Area = (1/16)²  = 1/256

or Area of tile in model = (1/2)(1/6)  = 1/12  inch²

Area of tile in  actual = 8 * 8/3  = 64/3  inch²

Ratio of Area = (1/12) / (64/3)  =  1/256

Learn More:

a map drawn to a scale of 1 centimetre to 10 kilometre images 24 cm ...

https://brainly.in/question/11221963

On a map of scale 1 cm to 250 m the area of a car park is 3cm^2 ...

https://brainly.in/question/13450590

The scale on a map is 3:10,00,000

https://brainly.in/question/8380622