Football field scale

What is the scale of the city plan if the new football field with dimensions of 90 m by 120 m is shown on it as a rectangle with dimensions of 3 cm by 4 cm?

Final Answer:

M =  1:3000

Step-by-step explanation:

$$\begin{gathered} a=90\text{m}\to \text{cm}=90\cdot 100\text{cm}=9000\text{cm} \\ b=120\text{m}\to \text{cm}=120\cdot 100\text{cm}=12000\text{cm} \\ x=3\text{cm} \\ y=4\text{cm} \\ M=x:a=3:9000=\frac{1}{3000}\doteq 0.0003=1:3000 \\ \text{ Verifying Solution: } \\ {M}_2=y:b=4:12000=\frac{1}{3000}\doteq 0.0003=1:3000 \end{gathered}$$

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