Question

a scale - drawing of a lake has a scale of 1 cm to 80 m. if the actual width of the lake is 1000 m, what 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. The actual width is 1000 m. So the proportion is $\frac{1}{80}=\frac{x}{1000}$.

Step2: Cross - multiply

Cross - multiplying gives us $80x = 1000$.

Step3: Solve for $x$

Dividing both sides of the equation $80x = 1000$ by 80, we get $x=\frac{1000}{80}=12.5$ cm.

Answer:

12.5 cm