Question

blem 6
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?
1.4 inches
2.1 inches
3.15 inches
21 inches

Explanation:

Step1: Find actual width of living - room

The original scale is 1 inch to 10 feet and the width on the original blueprint is 2.1 inches. So the actual width $w$ of the living - room is calculated by multiplying the blueprint width by the scale factor.
$w = 2.1\times10=21$ feet

Step2: Calculate new blueprint width

The new scale is 1 inch to 15 feet. Let the new width on the blueprint be $x$ inches. We know that the actual width is 21 feet. Using the scale relationship $\frac{1}{15}=\frac{x}{21}$. Cross - multiply to get $15x = 21$. Then solve for $x$:
$x=\frac{21}{15}=1.4$ inches

Answer:

1.4 inches