Question

if a 25 ft rope is cut into two sections with one section four times as long as the other section, how long is the shorter piece?

Answer 1

3.125 ft long or 3.13 ft long

Answer 2

Total length of rope = 25 feet

Let us say one part of the rope is x, then the other part will be 25-x.

We are given that one section of the rope is four times as long as the other.

So let us make an equation using this information,

$x=4(25-x)$

$x=100-4x$

$5x=100$

x=20

So one part is 20 feet and the second part is 25-20= 5 feet.

Answer: The shorter part of the rope is 5 feet long.