Step-by-step explanation:
Given that,
Half of Robert's piece of wire is equal to of Maria's wire i.e.
[tex]\dfrac{R}{2}=M[/tex] ....(1)
Total length of the wires = 10 feet
ATQ,
[tex]R+M=10[/tex] ....(2)
Use equation (1) in (2).
[tex]R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft[/tex]
So,
[tex]M=\dfrac{6.67}{2}\\\\M=3.33\ ft[/tex]
Hence, this is the required solution.
