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 :

To determine the size of the laptop monitor as measured by the diagonal, we need to consider the given diagonal length, which is [tex]\(\sqrt{290}\)[/tex].

1. Understanding Square Roots: The diagonal length is given as [tex]\(\sqrt{290}\)[/tex]. This means we need to find the square root of 290.

2. Approximating the Square Root: The square root of 290 is approximately 17.029. This value is not a whole number, but the manufacturer wants to round it to the nearest whole inch.

3. Rounding to the Nearest Whole Number: Since 17.029 is closer to 17 than to 18, we round it to 17.

4. Conclusion: Therefore, when the manufacturer rounds the diagonal length to the nearest whole inch, the size of the monitor is 17 inches.

Thus, the size of Carlos's laptop monitor is 17 inches when measured by the diagonal.