The length of the third part of the rope is 4 feet.
Given that A 48-feet rope is cut into three length. The second length of the rope is twice the first length. The third length of rope is one-fifth the first length
Let's assume the length of the 1st part is "x".
Then the length of the second part is "2x". and the length of the third part is "[tex]\frac{x}{5}[/tex]".
The total length of rope is 48 feet
⇒x+2x+[tex]\frac{x}{5}[/tex]= 48 feet
⇒3x+[tex]\frac{x}{5}[/tex]= 48 feet
⇒[tex]\frac{16x}{5}[/tex]= 48 feet
⇒ x= 20 feet.
Therefore, The length of the third part of the rope is 4 feet.
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