if the perimeter of a square plot is 36 m, What is its area
Answers
Answer:The formula for the area of a square is A = s², where s is the length of one of the four congruent sides of the square. Remember, the word "congruent" means that the four sides of a square have the same or equal length.
The formula for the perimeter of a square is P = 4s.
Since the perimeter, i.e., the distance around the square, is equal to 36 meters, then we have:
P = 36 meters, but P = 4s, and an axiom of mathematics says that: "Two things equal to the same thing are equal to each other"; therefore, we have:
4s = 36 meters
Now, solving for s by dividing both sides of the equation by 4, we get:
(4s)/4 = (36/4) meters
(4/4)s = 9 meters
(1)s = 9 meters
s = 9 meters
Therefore, the area of the given square is:
A = s²
A = (9 meters)²
A = 81 square meters
Step-by-step explanation:
Answer:
Since we're given that P = 36, we can substitute this information into the formula for the perimeter P in order to find s, and thus finally determine area A of the square as follows:
P = 4s
36 = 4s
36/4 = (4s)/4
9 = (4/4)s
9 = (1)s
9 = s
Now, substituting this information, i.e., s = 9, into the formula for the area of a square, we get:
A = s²
= 9²
= 9 x 9
= 81 is the area of the given square