Problema Solution

a 12 ft board is cut into two pieces so that one piece is longer than 3 times the shorter piece. if the shorter piece is x ft long ,find the length of both pieces.

Answer provided by our tutors

The length of the shorter piece is x, where x<3ft (this constraint is the key to the question).  This is because the total length of the two pieces is at least 4x, and must be equal to 12ft.

The length of the longer piece is 12-x, and is > 9 ft.