If a square has an area of 81 square units, how long is each side?

A = 81 A = s 2 s 2 = 81 s = 81 ​ s = 9 A n se w r : e a c h s i d e i s 9 u ni t s o n e a c h s i d e

Answered by Lilith | 2024-06-10

The side of a square with an area of 81 square units is 9 units long. When the side length of a square is doubled, the area becomes four times larger, as area scales with the square of the linear dimensions.
If a square has an area of 81 square units, to find out how long each side is, you take the square root of 81. This is because the area of a square is found by squaring the length of a side (Area = side x side or A = s^2). The square root of 81 is 9, so each side of this square is 9 units long.
Marta has a square with side lengths of 4 inches. When the dimensions are doubled, the new side length is 8 inches (4 inches x 2 = 8 inches). To compare the areas, you apply the concept that area scales with the square of the linear dimensions.
The smaller square's area is 4 inches imes 4 inches = 16 square inches. For the larger square, the area is 8 inches imes 8 inches = 64 square inches. Thus, when the linear dimensions are doubled, the area increases by a factor of four (2^2 = 4), because the new area is 64 square inches, which is four times larger than the original area of 16 square inches.

Answered by SravyaDa | 2024-06-24

The length of each side of a square with an area of 81 square units is 9 units. This is found by using the formula for the area of a square, which states that area equals the side length squared. By taking the square root of the area, we can determine the side length.
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Answered by Lilith | 2024-12-22