Question

An architect is designing a building that is 200 ft long and 140 ft wide. She builds a model so that the similarity ratio of the model to the building is 1 : 500. What is the length and width of the model in inches?

Answer 1

Answer:

The length is $4.8\ in$

The width is $3.36\ in$

Step-by-step explanation:

we know that

The scale factor is equal to $\frac{1}{500}$

To find the dimensions of the model multiply the dimension of the building by the scale factor

so

Find the length of the model

$200*\frac{1}{500}=\frac{2}{5}=0.40\ ft$

Find the width of the model

$140*\frac{1}{500}=0.28\ ft$

Convert the dimensions to inches

Remember that

$1\ ft=12\ in$

$0.40\ ft=0.40*12=4.8\ in$

$0.28\ ft=0.28*12=3.36\ in$