If the area of a square is 225 cm2, what is perimeter?

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Answer 1 · 2017-10-03T01:50:40

See a solution process below:

The formula for the area of a square is:

#A = s^2#

Where:

#A# is the area of the square.

#s# is the length of the side of a square.

Substituting and solving for #s# gives:

#225" cm"^2 = s^2#

We can take the square root of each side of the equation giving:

#sqrt(225" cm"^2) = sqrt(s^2)#

#15" cm" = s#

#s = 15" cm"#

The formula for the perimeter of a square is:

#p = 4s#

Where:

#p# is the perimeter of the square.

#s# is the length of the side of a square.

Substituting for #s# from the solution for the previous formula and calculating #p# gives:

#p = 4 xx 15" cm"#

#p = 60" cm"#