A rope is 66 ft long it is cut into two pieces such that one is half the length of the other what is the length of the longer piece of rope

Lets write an equation for this. A number multiplied by twice that number is equal to 66. so lets write this equation:

x + 2x = 66, or 3x = 66

solve for x, and you get x = 22. The longer piece of rope is expressed by 2x, so substitute:

2 (22) = 44