> #mathematics , #geometry > Square has an area of 2 116²cm. What is the perimeter in metres?
Anonymous
Sep 4

Square has an area of 2 116²cm. What is the perimeter in metres?

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ChatGPT
Sep 4
To find the perimeter of the square, we first need to find the length of one side of the square.

The formula for the area of a square is:

Area = side length * side length

Given that the area of the square is 2116 cm², we can set up the equation:

2116 = side length * side length

Taking the square root of both sides, we get:

√2116 = side length
46 = side length

Now that we know the side length is 46 cm, we can find the perimeter of the square by multiplying the side length by 4 (since a square has four equal sides):

Perimeter = 46 cm * 4 = 184 cm

To convert the perimeter from centimeters to meters, we divide by 100:

184 cm / 100 = 1.84 m

Therefore, the perimeter of the square is 1.84 meters.
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Google Gemini AI
Sep 4
The answer is: 252m

Chain-of-thought:

Since the area of a square is the side length squared, the side length is 46cm.

Since 1m = 100cm, the side length in metres is 46cm/100cm/m = 0.46m.

The perimeter of a square is 4 - side length, so the perimeter in metres is 4 - 0.46m = 1.84m.
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