SOLUTION: The area of a square is 121square centimeters. Find the length of the diagonal. Write your answer in simplest radical form.

Algebra ->  Rectangles -> SOLUTION: The area of a square is 121square centimeters. Find the length of the diagonal. Write your answer in simplest radical form.      Log On


   

Question 675852: The area of a square is 121square centimeters. Find the length of the diagonal. Write your answer in simplest radical form.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
In a square, all sides are equal, therefore,
area = s^2
...
using given values
121 = s^2
solving for s
sqrt%28121%29+=+sqrt%28s%5E2%29
11 = s
...
applying pythagorean theorem
11^2 + 11^2 = c^2
121 + 121 = c^2
242 = c^2
sqrt%28242%29+=+sqrt%28c%5E2%29
c = sqrt%28242%29+=+sqrt%28121%2A2%29+=+highlight_green%28c=11sqrt%282%29%29
.....................
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