Q5. - Algebra 1

Question

AIRPLANES On a model airplane, the scale is 5 centimeters = 2 meters. If the wingspan of the scale model is 28.5 centimeters, what is the actual wingspan?

Step-by-Step Solution

Answer

The size of actual wingspan is $s=11.4\text{meters}$.

Step-1. Write down the given scale.

The given scale is:

5 centimetres = 2 meters.

Step-2. Evaluate the size of actual wingspan by proportion method.

Let the size of actual wingspan be (s) meters.

Therefore, the proportion can be written as:

 $$\begin{gathered} \frac{5}{2}=\frac{28.5}{s} \\ s\left(5\right)=2\left(28.5\right) \\ 5s=57 \\ \frac{5s}{5}=\frac{57}{5} \\ s=11.4\text{meters} \end{gathered}$$

Step-3. Conclusion from evaluated size of actual wingspan.

The size of actual wingspan is $s=11.4\text{meters}$.