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F a square has an area of 25.4 in², what is the length of each side?

a) 4 in
b) 5 in
c) 6 in
d) 7 in

1 Answer

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Final answer:

To find the length of each side of a square with an area of 25.4 in², take the square root of the area. The square root of 25.4 is approximately 5.04, which makes the answer closest to 5 inches.

Step-by-step explanation:

If a square has an area of 25.4 in², we can find the length of each side by taking the square root of the area, as the area of a square is given by the formula Area = side². Here are the steps to find the side length:

  1. Write the equation for the area of a square: Area = side².
  2. Substitute the given area into the equation: 25.4 in² = side².
  3. Calculate the square root of the area to find the side length: side = √(25.4 in²).

The square root of 25.4 is approximately 5.04, so a) 4 in, b) 5 in, c) 6 in, and d) 7 in are the options given for the side length. The closest whole number to 5.04 is 5, so option b) 5 in is the correct answer.

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