Respuesta :
Given:
a.) The scale of the model is 1 in equals 47 ft.
b.) Danielle constructs a scale model of a building with a rectangular base her model is 2 inches in length and 1 inch in width.
To be able to determine the actual area of the base, let's first identify the actual dimensions of the base.
We get,
[tex]\text{Length: 2 (inches) x }\frac{47\text{ ft.}}{1\text{ (inch)}}\text{ = 2 x }\frac{47\text{ ft.}}{1}\text{ = 94 ft.}[/tex][tex]\text{Width: 1 (inch) x }\frac{47\text{ ft.}}{1\text{ (inch)}}\text{ = 1 x }\frac{47\text{ ft.}}{1}\text{ = 47 ft.}[/tex]Let's now solve for the area of the base, since it is a rectangle, we will be using the formula below:
[tex]\text{ Area = L x W ; where L = Length and W = Width}[/tex]We get,
[tex]\text{ Area = L x W}[/tex][tex]\text{ = 94 ft. x 47 ft.}[/tex][tex]\text{ Area = 4,418 ft.}^2[/tex]Therefore, the actual area of the base is 4,418 ft.².
