Question

A math teacher built a scale model of his classroom to ensure his students were equal distance apart. The scale for the model is 2 inches represents 15 feet. What is the length of the classroom in feet if the scale model length is 3 inches?

a) 22.5 feet
b) 20 feet
c) 27.5 feet
d) 30 feet

Answer 1

The length of the classroom in feet is 22.5 feet.

Step-by-step explanation:

To find the length of the classroom in feet, we can set up a proportion using the scale of the model. The proportion would look like this:

2 inches / 15 feet = 3 inches / x feet

By cross-multiplying, we get:

2 inches * x feet = 15 feet * 3 inches

Simplifying, we get:

2x = 45

Dividing both sides by 2, we find:

x = 22.5

Therefore, the length of the classroom in feet is 22.5 feet. So the correct answer is a) 22.5 feet.