SOLUTION: the area of a square photograph is 300 square inches. to the nearest hundredth inch, what is the perimeter of the photograph?

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Question 422480: the area of a square photograph is 300 square inches. to the nearest hundredth inch, what is the perimeter of the photograph?
Answer by duckness73(47) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = length of one side of the square photograph. Since you are looking for the perimeter, you are looking for the distance around the square; and since all of the sides of a square are of equal length, you have:
Perimeter = x + x + x + x = 4x.
The area of any rectangle is length * width. In your case, since the length and width are equal, Area+=+x%5E2. We know from the problem that Area = 300, so we have:
Area+=+x%5E2+=+300
x+=+sqrt%28300%29 (Taking the square root of both sides)
x+=+sqrt%28100+%2A+3%29+=+10+%2A+sqrt%283%29 (simplifying the expression)
The perimeter = 4+%2A+10+%2A+sqrt%283%29 = 40+%2A+sqrt%283%29 = 40+%2A+1.732 = 69.28
Therefore the perimeter of the square photograph is 69.28 inches.