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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?

Respuesta :

calculista

Answer:

The length is [tex]4.8\ in[/tex]

The width is [tex]3.36\ in[/tex]

Step-by-step explanation:

we know that

The scale factor is equal to [tex]\frac{1}{500}[/tex]

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

so

Find the length of the model

[tex]200*\frac{1}{500}=\frac{2}{5}=0.40\ ft[/tex]

Find the width of the model

[tex]140*\frac{1}{500}=0.28\ ft[/tex]

Convert the dimensions to inches

Remember that

[tex]1\ ft=12\ in[/tex]

[tex]0.40\ ft=0.40*12=4.8\ in[/tex]

[tex]0.28\ ft=0.28*12=3.36\ in[/tex]

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