Question

what is the unknown value in the scale?

Explanation:

Step1: Observe the scale - factor relationship

The larger image has a scale of 10 m for a certain number of grid - squares. The smaller image is a scaled - down version. Assume the number of grid - squares representing the length is the same in both images. If we assume the scaling is uniform, and we can see that the smaller image is half the size of the larger image in terms of the visual representation.
Let the unknown value be $x$. The ratio of the sizes of the two images is related to the ratio of the scale values. Since the smaller image is half the size of the larger one, we have the proportion $\frac{x}{10}=\frac{1}{2}$.

Step2: Solve the proportion for $x$

Cross - multiply the proportion $\frac{x}{10}=\frac{1}{2}$ to get $2x = 10$. Then divide both sides by 2: $x=\frac{10}{2}=5$.

Answer:

5 m