# Question #0ff05

Dec 12, 2016

$8 \text{ and " 13" inches}$

#### Explanation:

If we let x, be the length of the second part, then.

the length of the first part is x + 5

The 2 parts must total to 21

$\Rightarrow x + 5 + x = 21 \Rightarrow 2 x + 5 = 21$

subtract 5 from both sides of the equation.

$2 x \cancel{+ 5} \cancel{- 5} = 21 - 5$

$\Rightarrow 2 x = 16$

To solve for x, divide both sides by 2

$\frac{\cancel{2} x}{\cancel{2}} = \frac{16}{2}$

$\Rightarrow x = 8$

$\Rightarrow \text{first part " =x+5=8+5=13" inches}$

$\text{and second part " =x=8" inches}$