A 16-foot board is to be cut into two pieces so that one piece is 4 feet longer than the other. Hkw long will the longer piece be?

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