Question

on a blueprint, the living room is 2.1 inches wide. the blueprint has a scale of 1 inch to 10 feet. how wide would the living room be on a blueprint that has a scale of 1 inch to 15 feet?

Explanation:

Step1: Find the actual width of the living room

The scale of the first blueprint is 1 inch to 10 feet, and the width on the blueprint is 2.1 inches. So the actual width is \(2.1\times10 = 21\) feet.

Step2: Find the width on the new blueprint

The new scale is 1 inch to 15 feet. Let the width on the new blueprint be \(x\) inches. We know that the actual width is 21 feet, so we can set up the proportion \(\frac{1}{15}=\frac{x}{21}\). Solving for \(x\), we get \(x=\frac{21}{15}=1.4\) inches.

Answer:

1.4 inches