Question

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter: 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn? 5 meters, 2 meters, 10 meters, or 50 meters

Answer 1

50 meters

Explanation

you can easily solve this by using a rule of three.

Step 1

Let

$\begin{gathered} 1\text{ milemeter}\rightarrow5\text{ meters} \\ \text{the proportion is} \\ \frac{1\text{ mm}}{5\text{ mt}} \end{gathered}$

x represents the length of the actual lawn

then

$\begin{gathered} 10\text{ mm}\rightarrow x\text{ mt} \\ \text{the proportion is} \\ \frac{10\text{ mm}}{\text{xmt}} \end{gathered}$

the proportion is the same, so

Step 2

$\begin{gathered} \frac{1}{5}=\frac{10}{x} \\ \text{solve for x} \\ 1\cdot x=5\cdot10 \\ x=50 \end{gathered}$

so, the length is 50 meters