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

The required ratio of length of tile is  and ratio of area .

Step-by-step explanation:

Given: 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 fourth in and width one sixth in. The actual tiles have length one sixth ft and width one ninth ft.

According to question,

Length and width of each tiles are one fourth in and width one sixth in that is .

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

.  

Thus, the ratio of length of the actual length of tile

Now, Area of tile

Required ratio

Since the ratio of the width of the tiles in the model and the actual width

By the property of dilation, The ratio of there area

Hence, the required ratio of length of tile is  and ratio of area .

btw yor pic is cringe

Step-by-step explanation:

1:8 and 1:64

Step-by-step explanation:

(i think)

i believe a. 12x≥120 is the answer