Answer
The shorter piece of the board is $57$ cm while the longer piece of the board is $61$ cm.
Work Step by Step
1. Solve for $x$, which is the shorter piece of the board
Let $x =$ the shorter piece of the board
$(x) + (x+4) = 118$
$2x + 4 = 118$
$2x = 114$
$x = 57$ cm
2. Find the length of the longer piece of the board
$57 + 4 = 61$ cm
Therefore, the shorter piece of the board is $57$ cm while the longer piece of the board is $61$ cm.
