A board, 49 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second. Find the length of the shorter piece.

Answer 1

X is the first...

2x is the second, since it is twice as long.

2x+4 is the third, since it is 4 cm longer than the second.

x+2x+2x+4 = 49

5x +4 = 49

5x = 45

x = 9

shortest is 9

middle is 18.

longest is 22