Sides of a rectangle

The dimensions of a rectangle are in a 4:12 ratio. If the shorter side length is 12 cm, what is the length of the longer side in centimetres?

Correct answer:

b =  36 cm

Step-by-step explanation:

$$\begin{gathered} a=12\text{ cm } \\ a:b=4:12 \\ b:a=12:4 \\ b=a\cdot {\displaystyle \frac{12}{4}}=12\cdot {\displaystyle \frac{12}{4}}=36\text{ cm} \end{gathered}$$

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