# Chapter 9 - Basic Algebra - 9.8 Using Equations to Solve Application Problems - 9.8 Exercises: 45

The length of the shorter piece is $34$ cm and the length of the longer piece is $44$ cm.

#### Work Step by Step

Let $x =$ the length of the shorter piece $(x) + (x + 10) = 78$ $2x + 10 = 78$ $2x = 68$ $x = \frac{68}{2}$ $x = 34$ cm Let $l =$ the length of the longer piece $l = (x + 10)$ $l = 34 + 10$ $l = 44$ cm

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