Question

The new building is 22.5 inches from the gymnasium in the model. What will be the actual

distance from the gymnasium to the new building if it is built? The scale model is 1 inch = 3 feet

Answer 1

67.5feet

Explanation:

Given parameters:

Model distance between building and gymnasium = 22.5 inches

Scale of model : 1 inch = 3 feet

Unknown:

Actual ground distance = ?

To solve this problem, we first must understand the concept of scale. A scale is a relationship that represents a dimension on a map/model compared to the true ground expression. In order to visualize or represent some real life objects on paper or in a computer, we use models. These models are an abstraction of the real world based on scales. There are different ways of representing a scale.

In this problem;

the scale is given as;

1 inch on model represents 3 feet on ground

Now, to find 22.5 inches, simply cross multiply and solve;

If 1 inch on model represents 3 feet on ground

22.5 inches on a model will be =
`(22. 5 inches x 3 feet )/(1 inches)`

= 67.5feet

Therefore, the actual distance is 67.5feet