Ask Question
5 January, 07:01

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?

+3
Answers (2)
  1. 5 January, 07:25
    0
    L e t ' s b u i l d a n e q u a t i o n

    Rope Length = 1st Piece + 2nd Piece

    Where 1st Piece = 1/2 the 2nd Piece.

    Therefore.

    Rope Length = 1/2x + x

    Now substitute and solve for x.

    66 = 1/2x + x

    66 = 3/2x

    /1.5 / 1.5

    44 = x

    Therefore the longer piece is 44.

    Proof.

    First Piece: 1/2 x = 44 / 2 = 22

    Second Piece = x = 44

    22 + 44 = 66
  2. 5 January, 10:35
    0
    Assume the longer piece is x feet long,

    Then the other piece is 0.5x feet long

    In total: x + 0.5x = 66 - > x = 44

    So the longer piece is 44 feet, shorter piece is 22 feet
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers