SOLUTION: The area of a square is 36 square inches. Which of the following measures is closest to the length of its diagonal? A)8.1ft. B)8.3ft. C)8.7ft. D)8.5ft.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The area of a square is 36 square inches. Which of the following measures is closest to the length of its diagonal? A)8.1ft. B)8.3ft. C)8.7ft. D)8.5ft.      Log On

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Question 879081: The area of a square is 36 square inches. Which of the following measures is closest to the length of its diagonal?
A)8.1ft.
B)8.3ft.
C)8.7ft.
D)8.5ft.

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Length * width = area
In a square, length and width are equal
Length squared = area
L%5E2=36
Square root each side
L = 6
Now that you have the dimensions, use the right angle formula.
a%5E2+b%5E2=c%5E2
36 + 36 = c%5E2
72 = c%5E2
Square root each side
8.485 = c
The closest is 8.5