The carpenter saws a board that is 22 feet long into two pieces. One piece is to be 4 feet longer than twice the length of the shorter piece. Find the length of each piece.
A) 7 ft and 15 ft
B) 8 ft and 14 ft
C) 6 ft and 16 ft
D) 4 ft and 18 ft
E) 5 ft and 17 ft

Question

The carpenter saws a board that is 22 feet long into two pieces. One piece is to be 4 feet longer than twice the length of the shorter piece. Find the length of each piece. 
A) 7 ft and 15 ft 
B) 8 ft and 14 ft 
C) 6 ft and 16 ft 
D) 4 ft and 18 ft 
E) 5 ft and 17 ft

Quizplus · Accepted Answer

Let x be the length of the shorter piece. Then the longer piece is 2x + 4. We know that the sum of the lengths of the two pieces is 22 feet, so we can set up an equation:
x + 2x + 4 = 22
Simplifying this equation, we get:
3x + 4 = 22
3x = 18
x = 6
Therefore, the length of the shorter piece is 6 feet and the length of the longer piece is 2(6) + 4 = 16 feet. So the answer is choice C, 6 ft and 16 ft.

The Carpenter Saws a Board That Is 22 Feet Long