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Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be? _________ ft

Verified Answer :

Ananda26

140= x +3x
140 =4x
140/4= 4x/4
35= x
3x= 105
The length of the longer piece is 105 feet

SociometricStar

Answer:

The length of the longer piece is 35 feet.

Step-by-step explanation:

Let the length of the longer piece is x

Hence, length of the shorter piece is 3x

Now, the length of the rope is 140 ft. Thus, we have the equation

\(x+3x=140\)

Add the like terms. \(x+3x=4x\)

\(4x=140\)

Divide both sides by 4

\(x=35\)

Therefore, the length of the longer piece is 35 feet.