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 :

We are given that the diagonal of the monitor is
[tex]$$\sqrt{290}.$$[/tex]

Step 1. Calculate the numerical value of the diagonal:
[tex]$$\sqrt{290} \approx 17.03.$$[/tex]

Step 2. Since the manufacturer rounds to the nearest whole inch, we round [tex]$17.03$[/tex] to the nearest integer:
[tex]$$17.03 \approx 17.$$[/tex]

Thus, the size of the monitor as measured by the diagonal is [tex]$\boxed{17}$[/tex] inches.