Respuesta :
Answer:
The length of the longest section x = 36 ft
Step-by-step explanation:
Total length of the wire = 51 ft
Let first section of wire = x
Second section of wire = y
Third section of wire = z
According to given data
x = 3 y & y = 4 z
Total length of the wire = x + y + z = 51
[tex]y + 3 y + \frac{y}{4} = 51[/tex]
[tex]\frac{17}{4} y = 51[/tex]
y = 12
x = 3 × 12 = 36
[tex]z = \frac{y}{4} = \frac{12}{4} = 3[/tex]
Therefore the length of the longest section x = 36 ft
