Question

1. figure 2 is a scale drawing of figure 1. figure 1 has an area of 8 square units, and figure 2 has an area of 200 square units. what scale factor relates figure 2 to figure 1? explain how you know.

Explanation:

Substitute the given areas
We know that \(A_1 = 8\) square units and \(A_2=200\) square units. So, \(k^{2}=\frac{200}{8}\).
\[k^{2}=\frac{200}{8}=25\]

Step3: Solve for the scale factor

Take the square - root of both sides. Since the scale factor is a positive value (it represents a ratio of lengths), \(k = \sqrt{25}=5\).

Answer:

5