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6-51.

Four pieces of rope of unknown (but equal) length and more feet of rope are attached together. The resulting rope is feet long.

  1. Draw a diagram to represent this problem.

  • First, draw the pieces of rope of unknown and equal length. A line segment with 4 equal sections, each labeled x.

  • Then draw the foot rope. The line segment has an additional section added, labeled 10.

  • Find a way to indicate that the whole rope is feet long.

A line segment with 4 equal sections, each labeled x.

The line segment has an additional section added, labeled 10.

  1. How long is each of the pieces of rope that is not feet? Show how you know.

  • The four unknown lengths combine to be feet, so how long must each length be?