Answer:
The percentage error is;
A. 1.79%
Step-by-step explanation:
The given parameters of the rectangular field are;
The length of the field = 62 feet
The width of the field = 25 feet
The width of the gate of the fencing = 9 feet
The actual length of fencing Pete used to fence the field, P₁ = 168 feet
The length of the fencing required in the design, 'P₂' is given as follows;
P₂ = 62 ft. + 62 ft. + 25 ft. + 25 ft. - 9 ft. = 165 ft.
The difference between the actual and design length of fence measurements = P₁ - P₂ = 168 ft. - 165 ft. = 3 ft.
The percentage error in the design measurements compared to the actual fence material used, % Error, is given as follows;
[tex]\% \ Error = \dfrac{\left | Design \ length - Actual \ length \right | }{Actual \ length } \times 100[/tex]
Therefore;
[tex]\% \ Error = \dfrac{\left | P_1 - P_2 \right | }{P_2 } \times 100= \dfrac{\left | 165 - 168 \right |}{168} \times 100 = 1.785 \overline {714285} \%[/tex]
∴ The percentage error of Pete's design measurements compared to the actual fence material used, % Error ≈ 1.79 %.
