Question

jack measured his house and made a scale drawing. he used the scale 8 centimeters : 3 meters. the actual length of the living room is 6 meters. how long is the living room in the drawing?
centimeters

Explanation:

Step1: Understand the scale

The scale is 8 cm : 3 m, meaning 8 cm on the drawing represents 3 m in actual.

Step2: Set up a proportion

Let \( x \) be the length on the drawing (in cm). The actual length is 6 m. So we have the proportion \(\frac{8}{3}=\frac{x}{6}\).

Step3: Solve for \( x \)

Cross - multiply: \( 3x = 8\times6 \). Then \( 3x=48 \), and \( x=\frac{48}{3}=16 \).

Answer:

16