Question

A construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. If the building is expected to be 200 feet tall, how tall will the model be

Answer 1

Let x represent the height of the model.

We have been given that a construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. We are asked to find the height of the model, if the building is expected to be 200 feet tall.

We will use proportions to solve our given problem as:

`\frac{\text{Model height}}{\text{Actual height}}=\frac{\text{Model length}}{\text{Actual length}}`

Upon substituting our given values, we will get:

`\frac{x}{200\text{ ft}}=\frac{3\text{ in}}{\text{32 ft}}`

`\frac{x}{200\text{ ft}}* 200\text{ ft}=\frac{3\text{ in}}{\text{32 ft}}* 200\text{ ft}`

`x=3\text{ in}* 6.25`

`x=18.75\text{ in}`

Therefore, the model will be 18.75 inches tall.