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Ulleksa [173]
3 years ago
7

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?
Mathematics
2 answers:
Shtirlitz [24]3 years ago
7 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
sergeinik [125]3 years ago
7 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
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