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Martin bought a new carpet to cover a room. The carpet is in the shape of a square and it covers an area of 200 ft2. How long is the side length of the carpet?

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Answer:

14.14 ft long

Explanation:

Martin bought a new carpet to cover a room. The carpet is in the shape of a square and it covers an area of 200 ft². How long is the side length of the carpet?

The Area the carpet covers is a square.

Hence, the Area of a square = (Side length)²

From the question, we are given the Area of the square = 200 ft²

Hence:

200 ft² = (Side length)²

We square root both sides.

√200 ft² = √(Side length)²

Side length = 14.142135624 ft

Approximately = 14.14 ft

The side length of the carpet is 14.14 ft long

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