how to find the area of a square

how to find the area of a square

12 hours ago 2
Nature

The area of a square is found by squaring the length of one of its sides. The formula to calculate the area is:

Area=side×side=side2\text{Area}=\text{side}\times \text{side}=\text{side}^2Area=side×side=side2

This means you multiply the length of one side of the square by itself to get the area in square units (e.g., square centimeters, square meters).

Additional information:

  • If you know the length of the diagonal instead of the side, the area can be calculated using the formula:

Area=d22\text{Area}=\frac{d^2}{2}Area=2d2​

where ddd is the diagonal length of the square. This comes from applying the Pythagorean theorem to the right triangle formed by the diagonal and two sides of the square.

In summary, the simplest and most common way to find the area of a square is to square its side length. If the diagonal is known, use half of the square of the diagonal length.

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