Wright Lang
02/01/2023 · High School
Question 1 A 20 m length of rope is cut into 4 pieces. Three of the pieces have lengths \( 5.62 \mathrm{~m}, 8.05 \mathrm{~m} \), and 2.6 m . Find the length of the fourth piece.
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Step-by-step Solution
To find the length of the fourth piece of rope, we can start by adding the lengths of the three given pieces and then subtracting that sum from the total length of the rope.
The lengths of the three pieces are:
- \( 5.62 \, \text{m} \)
- \( 8.05 \, \text{m} \)
- \( 2.6 \, \text{m} \)
First, we calculate the total length of these three pieces:
\[
5.62 + 8.05 + 2.6 = 16.27 \, \text{m}
\]
Next, we subtract this sum from the total length of the rope, which is \( 20 \, \text{m} \):
\[
\text{Length of the fourth piece} = 20 \, \text{m} - 16.27 \, \text{m} = 3.73 \, \text{m}
\]
Therefore, the length of the fourth piece is \( \boxed{3.73} \, \text{m} \).
Quick Answer
The length of the fourth piece is \( 3.73 \, \text{m} \).
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