Question

here are two scale drawings of the hagia sophia in istanbul, turkey. what is the unknown value in the scale? 5 explain your thinking.

Explanation:

Step1: Observe the scale - related information

We know that the scale is a ratio of the drawing length to the actual length. Let the unknown value be $x$. The ratio of the lengths on the two drawings should be the same as the ratio of the actual - length equivalents.

Step2: Set up the proportion

If we assume that the two scale - drawings are related proportionally, and we know that one scale has a value of 10 m for a certain number of grid units and the other has an unknown value $x$ for the same relative number of grid units. Since the ratio of the lengths in the two drawings is the same as the ratio of the actual lengths, we can set up the proportion $\frac{x}{10}=\frac{1}{2}$ (assuming a simple linear relationship based on the visual similarity of the drawings' grid - based representation). Cross - multiplying gives us $2x = 10$.

Step3: Solve for $x$

Dividing both sides of the equation $2x = 10$ by 2, we get $x = 5$.

Answer:

5