Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
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Exercise 41 Page 95

The ratio of the corresponding side lengths is equal to the ratio of the perimeters.

x=7.2

Practice makes perfect

We are given a pair of similar figures.

similar figures
The ratio of the perimeters is 6: 5. Knowing that the ratio of corresponding side lengths is the same as the ratio of the perimeters, we can write a proportion in terms of x. Be sure to keep the larger side length and the larger perimeter on the same side of the fraction bar. Notice that we will write the ratio of the perimeters as a fraction. x/6=6/5 Let's isolate x and find its value!
x/6=6/5
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Solve for x
x/6 * 6=6/5 * 6
x=6/5* 6
x=6* 6/5
x=36/5
x=7.2