Question

Tom has a line segment, as shown in the following picture.


What is the total length of the line segment?

• A. $2a+b$
• B. $3a+b$
• C. $a+3b$
• D. $a+2b$

Answer 1

The correct option is B $3a+b$


Total lenght of the line segment = sum of lengths of each pieces
$=a+2a+b=3a+b$

Now, $\because$ $3a$ and $b$ are unlike terms we cannot combine them.

$\therefore$Total length of line segment = $3a+b$