Exercise 24 Page 556

We want to find the perimeter of △ WZX.

We know that △ W Z X is similar to △ S R T. Based on the order of the vertices in the similarity statement, we know that W X and S T are corresponding sides. We can use the given segment lengths, WX=5 and ST=6, to find the scale factor of △ WZX to △ SRT. WX/ST=5/6 Since we know that the perimeter of △ SRT= 15 and the perimeters of two similar polygons are proportional to the scale factor between them, we can write the following proportion. P_(△ WZX)/15 = 5/6 Finally, we can solve this equation for the perimeter of △ WZX.

P_(△ WZX)/15 = 5/6

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Solve for P_(△ WZX)

MultEqn

LHS * 15=RHS* 15

P_(△ WZX) = 5/6 * 15

MoveRightFacToNum

a/c* b = a* b/c

P_(△ WZX) = 5 * 15/6

ReduceFrac

a/b=.a /3./.b /3.

P_(△ WZX) = 5 * 5/2

Multiply

Multiply

P_(△ WZX) = 25/2

CalcQuot

Calculate quotient

P_(△ WZX) = 12.5