Question

caleb is making floor plans for a tree house using a scale of 1 in to 3 ft. he wants to make the floor of the tree house have a length of 12 ft. how many inches should he show for this distance on his floor plan? ? in

Explanation:

Step1: Understand the scale

The scale is 1 inch represents 3 feet. So we have a ratio of 1 inch : 3 feet.

Step2: Set up a proportion

Let \( x \) be the number of inches on the floor plan. We know that \(\frac{1\ \text{in}}{3\ \text{ft}}=\frac{x\ \text{in}}{12\ \text{ft}}\)

Step3: Solve the proportion

Cross - multiply: \( 3x = 1\times12 \)
Then, \( x=\frac{12}{3}=4 \)

Answer:

4