The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Given to us
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.
<h3>What are the two equal parts of the wire?</h3>
We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,
![\dfrac{49}{2} = 24.5](https://tex.z-dn.net/?f=%5Cdfrac%7B49%7D%7B2%7D%20%3D%2024.5)
Thus, the length of each side will be 24.5.
<h3>What is the length of the shorter piece of wire?</h3>
Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.
Length of the shorter wire = 24.5 -2.5 = 22.5
Length of the longer wire = 22.5 + 5 = 27.5
Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
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