Question

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

Answer 1

Answer:

`Area=4418\,feet^(2)`

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:
`2\,inches*(47\,feet)/(1\,inch)=94\,feet`

For the width we have:
`1\,inches*(47\,feet)/(1\,inch)=47\,feet`

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

`Area=94\,feet*47\,feet=4418\,feet^(2)`

then the area of the building is:
`4418ft^(2)`

Answer 2

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