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Find the area of a square if its sides measure 2 2/3 m.

2 Answers

6 votes

Final answer:

The area of the square with sides measuring 2 2/3 m is 64/9 m².

Step-by-step explanation:

To find the area of a square, you need to use the formula: Area = side length * side length. In this case, the side length of the square is 2 2/3 m. To calculate the area, convert the mixed fraction to an improper fraction: 2 2/3 = (2 * 3 + 2) / 3 = 8/3.

Now, substitute the side length into the formula: Area = (8/3) * (8/3) = 64/9 m². Simplify the fraction to its lowest terms if needed.

Therefore, the area of the square with sides measuring 2 2/3 m is 64/9 m².

User Rubina
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5.4k points
4 votes

Answer:

A = 7 1/9 m^2

Step-by-step explanation:

The area of a square is the side length squared.

A = s^2

A = (2 2/3) ^2

Change the mixed number to an improper fraction

2 2/3 = (3*2+2) /3 = 8/3

A = (8/3) ^2

= 64/9

Change this back to a mixed number

9 goes into 64 seven times (9*7 = 63 with 1 left over)

7 1/9 m^2

The area is 7 1/9

User Paul Salber
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5.8k points