6. A 21-foot-long board is cut into 3 pieces such that the first piece is twice as long as the second piece and the second piece is twice as long as the third piece. How many feet in length is the longest of the 3 pieces?

(Note: Ignore the width of the saw cuts. )

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

Assuming that the length of the third block is x, the length of the second block is twice, that is, 2x, and the length of the first block is four times, that is, 4x. The three pieces add up to 7x, a total of 21feet. So x=3 feet, the longest block is 4x=12 feet. Choose J.