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Keith_Richards [23]
3 years ago
11

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?
Mathematics
1 answer:
Veronika [31]3 years ago
5 0

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

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