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

and width
The actual tiles have length
and width
. 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

Explanation:

Since, Here Each tile has length one fourth in and width one sixth in.

That is inches and inches

And, the actual tiles have length one sixth ft and width one ninth ft.

That is inches and inches ( because 1 foot = 12 inches)

Thus the ratio of length of the actual length of tile =

=

And, The ratio of tile in the model of the actual area = Area of the tile in model/ actual area

=

= 1/64