Answer: 14 feet
Step-by-step explanation:
Let the shorter piece of the board be represented by x.
Since the longer piece is 2 feet more than twice the first, this will be:
= (2 × x) + 2
= 2x + 2
We then add both pieces and equate them to 20. This will be:
x + (2x + 2) = 20
x + 2x + 2 = 20
3x + 2 = 20
3x = 20 - 2
3x = 18
x = 18/3
x = 6 feet
Shorter piece = 6 feet
Longer piece = 2x + 2 = 2(6) + 2
= 12 feet + 2 feet
= 14 feet
The longer piece of board is 14 feet
