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 two thirds in. and width one fourth in. the actual tiles have length one half ft and width three sixteenths 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.

1 : 9 and 1 : 81

Step-by-step explanation:

In the model, each tile has length two third inches and width one-fourth inches.

So, length = inches

and width =   inches

Again the actual tiles have length one half feet and width three sixteenth feet.

So, length = inches

and width = inches

Hence, ratio of length of the tile in the model to the length of an actual tile = i.e. 1 : 9

or, we can find the ratio in the other was as

Now, area of model tiles = sq. inches

And the are of actual tiles = sq. inches

Hence, the ratio of the area of a tile in the models to the area of an actual tile is i.e. 1 : 81

or, we can find the ratio in the other was as (Answer)

answer: ouch. thats difficult

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)