Questions: On the blueprint of a house, 36 millimeters represents 8 meters. The actual length of the living room is 6 meters. What is its length on the blueprint?

On the blueprint of a house, 36 millimeters represents 8 meters. The actual length of the living room is 6 meters. What is its length on the blueprint?

Transcript text: On the blueprint of a house, 36 millimeters represents 8 meters. The actual length of the living room is 6 meters. What is its length on the blueprint?

Solution

Solution Steps

Step 1: Set up a proportion

The blueprint's scale is 36 millimeters to 8 meters. We want to find the length on the blueprint that corresponds to 6 meters. We can set up a proportion:

36 mm / 8 m = x mm / 6 m

Step 2: Solve for x

Cross-multiply to solve for x:

8x = 36 * 6 8x = 216 x = 216 / 8 x = 27