Question

The area of a square is 36 square inches. What is the perimeter of half the square?

Answer 1

The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.

The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:

A = s²

36 sq. units = s²

√(36 sq. units) = √s²

6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)

Therefore, ...

P = 4s

P = 4(6 units)

P = 24 units is the perimeter of a square whose area is 36 square units