Questions: On the blueprint of a house, 55 millimeters represents 10 meters. The actual length of the living room is 8 meters. What is its length on the blueprint? millimeters

On the blueprint of a house, 55 millimeters represents 10 meters. The actual length of the living room is 8 meters. What is its length on the blueprint?
millimeters

Transcript text: On the blueprint of a house, 55 millimeters represents 10 meters. The actual length of the living room is 8 meters. What is its length on the blueprint? millimeters

Solution

Solution Steps

Step 1: Understand the given scale

The blueprint scale is given as 55 millimeters representing 10 meters. This means that every 55 mm on the blueprint corresponds to 10 meters in reality.

Step 2: Set up the proportion

We need to find the length on the blueprint (\( x \)) that corresponds to 8 meters in reality. Using the scale, we can set up the proportion: \[ \frac{55 \, \text{mm}}{10 \, \text{m}} = \frac{x \, \text{mm}}{8 \, \text{m}} \]

Step 3: Solve for \( x \)

Cross-multiply to solve for \( x \): \[ 55 \times 8 = 10 \times x \] \[ 440 = 10x \] \[ x = \frac{440}{10} = 44 \, \text{mm} \]