Question

A 20-ft piece of board is cut into two pieces such that the second piece is 2 feet more than twice the first. Piece; find the length of the longer piece of board.

Answer 1

Answer: 14 feet

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