Question

proportions & scale factors practice
complete this assessment to review what youve learned. it will not count toward your grade.

tess builds a sandbox in the shape of a regular hexagon in which all the sides are 40 inches long. she then takes a photo of the sandbox and prints the photo. in the photo, the sides of the hexagon are each 4 inches long. identify the scale factor that was used to create the printed photo of the sandbox. express your answer as a decimal. (1 point)

Explanation:

Step1: Recall scale factor formula

The scale factor \( k \) from the original figure to the scaled figure is given by \( k=\frac{\text{Length in scaled figure}}{\text{Length in original figure}} \).

Step2: Identify lengths

Original side length \( = 40 \) inches, scaled (photo) side length \( = 4 \) inches.

Step3: Calculate scale factor

Substitute into the formula: \( k=\frac{4}{40} \)
Simplify: \( k = 0.1 \)

Answer:

\( 0.1 \)