Answer:
The length of fencing is 146 feet.
Step-by-step explanation:
The length of fencing is equal to the perimeter of the rectangle plus 8 times the width of the border between the edge of the pool and the fence. By Geometry, we find that the perimeter ([tex]p[/tex]), measured in feet, is equal to:
[tex]p = 2\cdot (w+f)+2\cdot (l+f)[/tex] (1)
Where:
[tex]w[/tex] - Width of the pool, measured in feet.
[tex]l[/tex] - Length of the pool, measured in feet.
[tex]f[/tex] - Width of the border, measured in feet.
If we know that [tex]w = 45\,ft[/tex], [tex]l = 18\,ft[/tex] and [tex]f = 5\,ft[/tex], then the length needed of fencing is:
[tex]p = 2\cdot (45\,ft+5\,ft)+2\cdot (18\,ft+5\,ft)[/tex]
[tex]p = 146\,ft[/tex]
The length of fencing is 146 feet.
