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 1/3 in and width 1/4in. The actual tiles have length 1/4 ft and width 3/16 ft

Answer 1

Answer:: 1:8 and 1:64

Step-by-step explanation:

First way :

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

Second way:

Since the ratio of the width of the tiles in the model and the actual width = 1/8

Therefore, there is dilation occurs with a scale factor 1/8 therefore,

By the property of dilation, The ratio of there area =  = 1/6

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