Question

start by finding the scale of this map. at the actual gym, one side length of the basketball court is 120 feet. on the scale map, it is 40 cm. what is the scale?

Explanation:

Step1: Set up the ratio

We know that on the map \(40\ \text{cm}\) represents \(120\ \text{feet}\). The ratio is \(\frac{\text{map distance}}{\text{actual distance}}=\frac{40\ \text{cm}}{120\ \text{feet}}\).

Step2: Simplify the ratio

Divide numerator and denominator by \(40\). \(\frac{40\div40}{120\div40}=\frac{1\ \text{cm}}{3\ \text{feet}}\)

Answer:

\(1\ \text{cm} = 3\ \text{feet}\)