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Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. The scale on the model is 1 inch = 47 feet. What is the actual area, in square feet, of the base of the building

Sagot :

The area of the base is of the building  4,418 square feet

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Answer:

Answer:

[tex]Area=4418\,feet^{2}[/tex]

Step-by-step explanation:

We have that in the model the length is 2 inches and 1 inch in width. As we know 1 inch is 47 feet, then:

For the length we have: [tex]2\,inches\times\dfrac{47\,feet}{1\,inch}=94\,feet[/tex]

For the width we have: [tex]1\,inches\times\dfrac{47\,feet}{1\,inch}=47\,feet[/tex]

To know the area we just need to multiply length by width.

[tex]Area=94\,feet\times47\,feet=4418\,feet^{2}[/tex]

then the area of the building is: [tex]4418ft^{2}[/tex]

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