College

Carlos found that the length of the diagonal of his laptop monitor is [tex]\sqrt{280}[/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 Carlos's laptop monitor as measured by the diagonal, we start by considering the given length of the diagonal: [tex]\(\sqrt{280}\)[/tex].

1. Calculate the Diagonal:
- To find [tex]\(\sqrt{280}\)[/tex], you take the square root of 280. This value is approximately 16.733.

2. Round to the Nearest Whole Inch:
- Once you have the approximate length, 16.733, you round it to the nearest whole number. When rounding, you consider the number after the decimal point. Since 0.733 is closer to 1 than it is to 0, you round up.
- Therefore, 16.733 rounds to 17.

3. Final Answer:
- With the diagonal length rounded to the nearest whole inch, the size of the monitor is 17 inches.

So, the answer is 17 inches.