Question

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

Explanation:

Step1: Count grid - units

In the second drawing, the height is represented by 11 grid - units and the actual height is 10 m. In the first drawing, the height is represented by 5.5 grid - units.

Step2: Set up proportion

Let the unknown value be $x$. Since the scale is the same for both drawings, we can set up the proportion $\frac{10}{11}=\frac{x}{5.5}$.

Step3: Solve the proportion

Cross - multiply: $11x = 10\times5.5$. Then $11x=55$, and $x = 5$.

Answer:

5