Question

on the blueprint of a house, 24 millimeters represents 5 meters. the length of the living room is 30 millimeters on the blueprint. what is the actual length of the living room?
meters

Explanation:

Step1: Set up proportion

Let \( x \) be actual length. Proportion: \(\frac{24\,\text{mm}}{5\,\text{m}}=\frac{30\,\text{mm}}{x\,\text{m}}\)

Step2: Cross - multiply

\( 24x = 5\times30 \)
\( 24x = 150 \)

Step3: Solve for \( x \)

\( x=\frac{150}{24}=6.25 \)

Answer:

\( 6.25 \)