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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Similar Polygons

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Exercise 57 Page 559

If two polygons are similar, then their perimeters are proportional to the scale factor between them.

G

Practice makes perfect

We are given that two similar rectangles have a scale factor of 3:5. Note that it can be rewritten as a fraction. 3/5We want to find the perimeter of the small rectangle, P_s. Recall that if two polygons are similar, their perimeters are proportional to the scale factor between them. We are given that the perimeter of the large rectangle is 65 meters, so we can write the following proportion. P_s/65=3/5 Finally, we can solve this equation to find the perimeter of the smaller rectangle.

P_s/65=3/5

LHS * 65=RHS* 65

P_s=3/5 * 65

Multiply

P_s=39

The perimeter of the small rectangle is 39 meters. Therefore, the correct option is G.

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Exercises p.554-559