Math, asked by ojhaanchit2016, 14 days ago

5. Perimeter of a square field is 36 metres. Find its area​

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Answered by 110030
0

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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Answered by BrainlyTF
1

\huge\mathcal\fcolorbox{Black}{Blue}{Question}

Find The Area

\huge\mathcal\fcolorbox{Black}{Blue}{Given}

Perimeter = 36 metre

\huge\mathcal\fcolorbox{Black}{Blue}{Explanation}

Side = \frac{P}{4}

There fore , Side = \frac{36}{4}

Side = 9 metre.

Area = [ Side × Side ]unit ²

Area = [ 9 × 9 ]

Area = 81 metre ²

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81

____

Hope it helps

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