Cut a board 36 ft long into three pieces so that the longest piece will be twice as long as each of the other two of equal lengths. Find the length of each piece.
A) The length of the equal pieces are 18 ft and the length of third piece is 9 ft.
B) The length of the equal pieces are 14 ft and the length of third piece is 14 ft.
C) The length of the equal pieces are 9 ft and the length of third piece is 18 ft.
D) The length of the equal pieces are 12 ft and the length of third piece is 14 ft.
E) The length of the equal pieces are 12 ft and the length of third piece is 10 ft.

Question

Quizplus · Accepted Answer

Let the length of the two equal pieces be x. According to the problem, the longest piece is twice as long as each of the other two pieces. Therefore, the third piece must be 2x. The sum of the three pieces must equal 36 feet, so we can write an equation: x + x + 2x = 36. Solving for x gives x = 9. Therefore, the length of the two equal pieces is 9 feet and the length of the third piece is 18 feet, which matches choice C.

Cut a Board 36 Ft Long into Three Pieces So