let x be the sidelength of the square
by pythagoras' theorum:
x2+x2 = 122
2x2 = 144
x2 = 72
x = 6*(2)^0.5 [2^0.5 is the square root of 2]
x = 8.4852813742385702928 (20sf)
perimeter = 4x
perimeter = 33.941125496954281171(20sf)
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perimeter = 4 x sqrt 72 = 33.94 in area = 72 squinches
-- The perimeter of the square is [4 times the length of one side] . -- The length of one side of the square is [square root of its area] .
divide the perimeter by four to get the length of one side then square your answer to find the area
If a square has sides of length x, it's perimeter must be 4x. Therefore the length of one of those sides is the perimeter divided by 4. Square this number (multiply it by itself) to get the area of the square.
The perimeter of a square is the distance around it. To calculate the perimeter of a square, multiply the length fo one side by four. Another way to find perimeter is to add together the length of all sides. To find the perimeter of a square you have to add up the lengths of all the 4 sides (example: 4+4+4+4=16 Perimeter=16). A formula you can use is P=4x (Perimeter=4 times the length of one side)