Question

Danielle construct a scale model of a building with a rectangular base her model is 2 inches in length and 1 inch in width the scale of the model is 1 in equals 47 ft what is the actual area in square feet of the base of the building The possible answers are:1412822,2094,418

Answer 1

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,

`\text{Length: 2 (inches) x }\frac{47\text{ ft.}}{1\text{ (inch)}}\text{ = 2 x }\frac{47\text{ ft.}}{1}\text{ = 94 ft.}`
`\text{Width: 1 (inch) x }\frac{47\text{ ft.}}{1\text{ (inch)}}\text{ = 1 x }\frac{47\text{ ft.}}{1}\text{ = 47 ft.}`

Let's now solve for the area of the base, since it is a rectangle, we will be using the formula below:

`\text{ Area = L x W ; where L = Length and W = Width}`

We get,

`\text{ Area = L x W}`
`\text{ = 94 ft. x 47 ft.}`
`\text{ Area = 4,418 ft.}^2`

Therefore, the actual area of the base is 4,418 ft.².