High School

Carlos found that the length of the diagonal of his laptop monitor is [tex]\sqrt{290}[/tex]. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal?



A. 12 inches

B. 17 inches

C. 97 inches

D. 245 inches

Answer :

- Calculate the square root of 290: $\sqrt{290} \approx 17.029$.
- Round the result to the nearest whole number: $17.029 \approx 17$.
- The monitor size, rounded to the nearest inch, is 17 inches.
- Final Answer: $\boxed{17}$

### Explanation
1. Problem Analysis
The problem states that the length of the diagonal of Carlos' laptop monitor is $\sqrt{290}$ inches. We need to round this value to the nearest whole inch to find the monitor size.

2. Calculate the Square Root
First, we calculate the value of $\sqrt{290}$. The result of this calculation is approximately 17.029.

3. Round to Nearest Inch
Next, we round the calculated value (17.029) to the nearest whole number. Since the decimal part is 0.029, which is less than 0.5, we round down to 17.

4. Final Answer
Therefore, the size of the monitor, as measured by the diagonal rounded to the nearest inch, is 17 inches.

### Examples
In real life, knowing how to calculate and round diagonal measurements is useful when determining the size of screens for TVs, monitors, and other display devices. Manufacturers often specify screen sizes by the diagonal length, and understanding this measurement helps consumers choose the right size for their needs.