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:

$Area=4418\,feet^{2}$

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: $2\,inches\times\dfrac{47\,feet}{1\,inch}=94\,feet$

For the width we have: $1\,inches\times\dfrac{47\,feet}{1\,inch}=47\,feet$

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

$Area=94\,feet\times47\,feet=4418\,feet^{2}$

then the area of the building is: $4418ft^{2}$

Answer 2

The actual area in square feet of the base of the building given the scale model is 418 square feet.

What is the area of the building?

A scale drawing is a reduced form in terms of dimensions of an original image / building / object.

Scale of the drawing = original dimensions / dimensions of the scale drawing

Length of the base = 2 x 47 = 94 ft

Width of the base = 1 x 47 = 47

Area = 47 x 94 = 4418 square feet

To learn more about scale drawings, please check: https://brainly.com/question/26388230