Question

1. a scale drawing of a lake has a scale of 1 cm to 80 m. if the actual width of the lake is 1,600 m. is the width of the lake on the scale drawing? explain or show your reasoning.

Explanation:

Step1: Set up proportion

Let $x$ be the width of the lake on the scale - drawing. The scale is 1 cm to 80 m, and the actual width is 1600 m. The proportion is $\frac{1}{80}=\frac{x}{1600}$.

Step2: Solve the proportion

Cross - multiply: $80x = 1600$. Then, divide both sides by 80: $x=\frac{1600}{80}=20$.

Answer:

20 cm