SOLUTION: Ella's computer monitor has a 20-inch screen, which means that the length of the diagonal of the screen is 20 inches. There is a 1-inch margin along the four sides of the screen.

Algebra ->  Pythagorean-theorem -> SOLUTION: Ella's computer monitor has a 20-inch screen, which means that the length of the diagonal of the screen is 20 inches. There is a 1-inch margin along the four sides of the screen.       Log On


   



Question 1202538: Ella's computer monitor has a 20-inch screen, which means that the length of the diagonal of the screen is 20 inches. There is a 1-inch margin along the four sides of the screen.
The monitor can be laid flat so that it just fits into a box that is 11 inches wide. How long is the box?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Draw and label the description. Find that this screen is width of 11-2%2A1=highlight_green%289%29 inches. Now you want to find length of the screen, just the screen. Box will be that plus 2 more inches for length.
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Box length 19.8606

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Ella's computer monitor has a 20-inch screen, which means that the length of the diagonal
of the screen is 20 inches. There is a 1-inch margin along the four sides of the screen.
The monitor can be laid flat so that it just fits into a box that is 11 inches wide.
How long is the box?
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From the problem, we conclude that one of the two dimensions of the screen is 

      11 - 1 - 1 = 9 inches.


Hence,  applying the Pythagoras, we find that the other dimension of the screen is  sqrt%2820%5E2+-+9%5E2%29 = sqrt%28319%29 = 17.86 inches (rounded).


It tells us that the corresponding dimension of the box is 17.86 + 1 + 1 = 19.86 inches.


Since this dimension is greater than 11 inches, we have every reason to call this dimension
as "the length of the box".


ANSWER.  The length of the box is 19.86 inches.

Solved.