Answer: the length of the longer piece is 10 feet
Step-by-step explanation:
Let x represent the length of the shorter piece of board.
The 16-foot board is to be cut into two pieces so that one piece is 4 feet longer than the other. This means that the expression for the length of the longer piece of board is x + 4
Since the total length of the board is 16-foot, it means that
x + x + 4 = 16
2x + 4 = 16
2x = 16 - 4
2x = 12
x = 12/2 = 6
The length of the longer piece would be
x + 4 = 6 + 4 = 10 feet
