Three similar pieces of timber of length 240cm, 320cm, and 380cm are cut into two equal pieces. Find the largest possible area of a square which can be made from all of the three pieces. (3 marks)

Here are the solutions to the mathematics questions:

1. Three similar pieces of timber of length 240cm, 320cm, and 380cm are cut into two equal pieces. Find the largest possible area of a square which can be made from all of the three pieces. (3 marks)

Step 1: Determine the side length of the largest possible square.
To make the largest possible square from pieces of timber, the side length of the square must be the greatest common divisor (GCD) of the lengths of the timber pieces. The phrase "cut into two equal pieces" is ambiguous; we will assume it refers to the general process of cutting the timber into smaller, equal-sized pieces, and thus