Certainly! Let's solve the problem step-by-step:
1. Understand what we are given and what we need to find:
- We are told that 15% of the length of a rope is 720 meters.
- We need to find half of the length of the rope.
2. Express the given information mathematically:
- Let the total length of the rope be denoted as [tex]\( L \)[/tex].
- According to the problem, 15% of [tex]\( L \)[/tex] is equal to 720 meters. This can be written as:
[tex]\[
0.15 \times L = 720
\][/tex]
3. Solve for the total length [tex]\( L \)[/tex]:
- To find [tex]\( L \)[/tex], we can divide both sides of the equation by 0.15:
[tex]\[
L = \frac{720}{0.15}
\][/tex]
4. Perform the division:
[tex]\[
L = 4800 \text{ meters}
\][/tex]
5. Find half of the total length:
- To find half of [tex]\( L \)[/tex], we simply divide [tex]\( L \)[/tex] by 2:
[tex]\[
\text{Half of the length of the rope} = \frac{L}{2} = \frac{4800}{2} = 2400 \text{ meters}
\][/tex]
So, half of the length of the rope is [tex]\( 2400 \)[/tex] meters.
