A wooden railing is 82 feet long. It is to be divided into 4 pieces. Three pieces will be the same length, and the fourth piece will be 2 feet longer than each of the other three. Find the length of each piece.
3x + x + 2 = 82
4x = 80
x = 20
Three pieces are 20 feet each. One piece is 22 feet long.
To find the length of each piece, we will divide the total length of the wooden railing by the number of pieces.
Let's use the variable "x" to represent the length of the three equal pieces.
Therefore, we have:
3x + (x + 2) = 82
Simplifying the equation:
3x + x + 2 = 82
4x + 2 = 82
4x = 80
x = 20
So, the three equal pieces have a length of 20 feet.
The fourth piece is 2 feet longer than each of the other three pieces:
x + 2 = 20 + 2
x + 2 = 22
Therefore, the fourth piece has a length of 22 feet.
To summarize, the length of each piece is:
- The first three pieces are each 20 feet long.
- The fourth piece is 22 feet long.