SOLUTION: I need to find the perimeter of a square window and the info i have been given is that the surface area is 1296 in.. Do i take the sq root of 1296in and then what?

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Question 107059: I need to find the perimeter of a square window and the info i have been given is that the surface area is 1296 in.. Do i take the sq root of 1296in and then what?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square is found by squaring the length of the side of the square. In equation
form this means that the Area (call it A) is equal to the square of one of the sides (call
the side S) or:
.
A+=+S%5E2
.
The problem tells you that the area is 1296 square inches. Substitute this number for A
in the equation to get:
.
1296+=+S%5E2
.
Solve for S by taking the square root of both sides:
.
sqrt%281296%29+=+sqrt%28S%5E2%29
.
When you take the square root of both sides you are left with:
.
36+=+S
.
So you know that the length of one of the sides of the square is 36 inches. Since this
is a square, each of the 4 sides is 36 inches. Then you need to recall that the perimeter
of a geometric figure is found by adding the lengths of all of its sides. So for this square,
the perimeter {call it P) is:
.
P+=+S+%2B+S+%2B+S+%2B+S+=+36+%2B+36+%2B+36+%2B+36+=+4%2A36+=+144
.
So the perimeter of this square is 144 inches.
.
Hope this helps you understand the last part of this problem.
.