5. Perimeter of a square field is 36 metres. Find its area
Answers
Answer:
A square has a perimeter of 36 metres. What is the area?
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:
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Find The Area
Perimeter = 36 metre
Side = 9 metre.
Area = [ Side × Side ]unit ²
Area = [ 9 × 9 ]m²
Area = 81 metre ²
81 m²
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