Question

A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.​ A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.

Answer 1

Answer: Actual length of the bus = 171.67 feet

Width of the lake on the scale drawing = 12.5 inches

Step-by-step explanation:

Given : A scale drawing of a school bus has a scale of 12 inch to 5 feet.

i.e. 12 inch = 5 feet

$\Rightarrow \text{ 1 inch}=\dfrac{5}{12}\text{ feet}$

If length of school bus on scale drawing = 412 inches

Then, Actual length of bus = $\dfrac{5}{12}\times412=171.67\ \text{feet}$

A scale drawing of a lake has a scale of 1 cm to 80 m.

If the actual width of the lake is 1,000 m

then, the width of the lake on the scale drawing = $\dfrac{1000}{80}=12.5\text{ inches}$