A 13-ft piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. Find the length in both pieces

The length of the shorter piece = 3 ft

The length of the longer piece = 10 ft

Step-by-step explanation:

According to the question;

Total length of the string is 13 ft Longer piece is 4ft longer than twice the shorter piece;

Therefore;

Assuming the shorter piece is x ft Then, the longer piece will be (2x + 4) ft

Thus;

Longer piece + shorter piece = 13 ft

x ft + (2x + 4) ft = 13 ft

3x + 4 = 13

3x = 9

x = 3 ft and

2x + 4 = 10 ft

Therefore;

The length of the shorter piece = 3 ft

The length of the longer piece = 10 ft