Question

the area of a square is 225 square meters. Then find its side in process. ​

Answer 1

Answer:

60 m is the perimeter of a square whose area is 225 square meters.

Step-by-step explanation:

The formula for the perimeter P, i.e., the distance around, a square is given by the formula:

(1.) P = 4s, where s is the length of one of its 4 congruent sides, i.e, all 4 sides of a square are equal in length.

It's given that the area A of the square is 225 square meters (m²). The formula for the area of a square is given by:

(2.) A = s²

Now, substituting A = 225 m² into formula (2.) to find s, we get:

225 m² = s²

Now, taking the square root of both sides of this equation, we have:

±√(225 m²) = √s²

±15 m = s

s = 15 m

NOTE: We chose the positive square root (15) rather than the negative square root (-15) of 225 since you obviously can't have a negative length or distance!

Now, substituting s = 15 m into formula (1.) in order to find the desired perimeter P, we get:

P = 4s

= 4(15 m)

Hence 60 m is the perimeter of a square whose area is 225 square meters.