Math, asked by hto826955, 8 months ago

We rectangle.
18. The perimeter of a square field is 36 metres. Find its
area.​

Answers

Answered by akanksharayate21
1

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

Hope it helps

Answered by NaVila11
3

Answer:

area = 81 {m}^{2}

Step-by-step explanation:

Given : Perimeter : 36m

To find : AreaHope this helps u

Solution :

perimeter  = 4 \times side

36 = 4 \times side

 \frac{36}{4}  = side

9 = side

area = side {}^{2}

area  = 9 {}^{2}

area = 81 {m}^{2}

Hope this helps u

plz don't forget to mark it as brainliest

Thank you

Regards

NaVila11

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