Question

trent made a scale drawing of the elementary school. the schoolyard, which is 85 meters wide in real life, is 102 millimeters wide in the drawing. what scale did trent use? 6 millimeters : meters

Explanation:

Step1: Set up the proportion

Let the unknown number of meters for 6 millimeters be $x$. We know that the ratio of real - life width to drawing width is constant. The ratio of real - life width to drawing width is $\frac{85}{102}$. So we set up the proportion $\frac{85}{102}=\frac{x}{6}$.

Step2: Cross - multiply

Cross - multiplying gives us $102x = 85\times6$.

Step3: Calculate the right - hand side

$85\times6 = 510$, so $102x=510$.

Step4: Solve for $x$

Dividing both sides of the equation $102x = 510$ by 102, we get $x=\frac{510}{102}=5$.

Answer:

5