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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 28 Page 556

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

75 ft

Practice makes perfect

We are given that two similar rectangles have a scale factor of 3:2. Note that it can be rewritten as a fraction. 3/2We want to find the perimeter of the large rectangle, P_l. 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 small rectangle is 50 feet, so we can write the following proportion. P_l/50=3/2 Finally, we can solve this equation to find the perimeter of the larger rectangle.

P_l/50 = 3/2

LHS * 50=RHS* 50

P_l = 3/2 * 50

MoveRightFacToNum

a/c* b = a* b/c

P_l = 3 * 50/2

Multiply

P_l = 150/2

Calculate quotient

P_l = 75

The perimeter of the large rectangle is 75 feet.

Subchapter links

Exercises p.554-559