College

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
B. 17
C. 97
D. 245

Answer :

To find out the size of the monitor based on the diagonal length, we start by working with the given diagonal measurement. The diagonal length of the laptop monitor is given as [tex]\(\sqrt{290}\)[/tex].

First, we need to calculate the actual length of this diagonal:

1. [tex]\(\sqrt{290}\)[/tex] is approximately equal to 17.03.

The question states that the manufacturer rounds the size to the nearest whole inch. Therefore, we consider the nearest whole number to 17.03:

2. The nearest whole number to 17.03 is 17.

Now, we match this rounded number with the given options for the monitor size:

- The options provided are 12, 17, 97, and 245.

After rounding, the diagonal measures 17 inches. Therefore, the size of the monitor, as measured by the diagonal and rounded to the nearest whole inch, is 17 inches.