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Question

Part 1
The figures in the pair are similar. Find the scale factor of the first figure to the second. Give the corresponding ratio of the perimeters. Give the corresponding ratio of the areas. 33in 6in

Answer 1

To find the scale factor, we divide the corresponding sides of the two figures:

Scale factor = 33 in / 6 in = 5.5

To find the corresponding ratio of the perimeters, we simply multiply the scale factor by itself:

Perimeter ratio = 5.5 * 5.5 = 30.25

To find the corresponding ratio of the areas, we square the scale factor:

Area ratio = 5.5^2 = 30.25

Therefore, the scale factor of the first figure to the second is 5.5. The corresponding ratio of the perimeters is 30.25, and the corresponding ratio of the areas is also 30.25.