Final answer:
The length of the loan is approximately 5 years.
Step-by-step explanation:
To find the length or time of the loan, we can use the formula for simple interest: Interest = Principal × Rate × Time.
In this case, the principal is $4500, the interest rate is 8%, and the total interest paid is $6160 - $4500 = $1660.
Plugging in the values, we get: $1660 = $4500 × 0.08 × Time.
Solving for Time, we have: Time = $1660 / ($4500 × 0.08) ≈ 4.628 years. Rounding to the nearest whole number, the length of the loan is approximately 5 years.