If the area of a square is 64 square units, what is perimeter?

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Answer 1 · 2018-03-04T18:01:16

See a solution process below:

The formula for the Area of a square is:

$A = s^2$ Where $s$ is the length of the side of the square.

Substituting and solving for $s$ gives:

$64"units"^2 = s^2$

$sqrt(64"units"^2) = sqrt(s^2)$

$8"units" = s$

The formula for the perimeter of a square is:

$p = 4s$ Where $s$ is the length of the side of the square.

Substituting the length for the side of the square in the problem we calculated above and solving for $p$ gives:

$p = 4 xx 8"units"$

$p = 32"units"$

The perimeter of the square in the problem is 32 units.