Question

A board of length 20 ft is broken in three pieces, 2 pieces are the same size and the

third piece is four more than twice the length of the same size plece. What is the length
of each piece of board?

Answer 1

The board is broken into three pieces: two of equal length at 4 feet each and a third piece at 12 feet, by setting up and solving a simple algebraic equation based on the given information.

Step-by-step explanation:

To solve this problem, we can let the length of the two equal pieces be x feet. According to the problem, the third piece is four feet more than twice the length of the other two pieces, which we can write as 2x + 4 feet. As all three pieces come from a board that is 20 ft long, we can set up the equation x + x + (2x + 4) = 20.

Solving for x, we combine like terms: 4x + 4 = 20. Subtracting 4 from both sides gives us 4x = 16, and then dividing both sides by 4 yields x = 4. So, each of the two equal pieces is 4 feet long, and the third piece is 2(4) + 4 = 12 feet long.