A 24-foot piece of siding is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is five times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

first piece = 3 feet

Second piece = 6 feet

Third piece = 15 feet.

Step-by-step explanation:

The total length of the siding is 24 feet.

It is cut into three pieces so that the second piece is twice as long as the first piece. If x represents the length of the first piece, then the length of the second piece is 2x.

If the third piece is five times as long as the first piece, then the length of the third piece would be

5x. Therefore,

x + 2x + 5x = 24

8x = 24

x = 24/8

x = 3 feet

Length of the second piece = 2 × 3 = 6 feet.

Length of the third piece = 5 × 3 =

15 feet.