If the area of a square is 64 m², what is the length of one side?

If the area of a square is 64 m², what is the length of one side?

• A. 8 m
• B. 16 m
• C. 4 m
• D. 6 m

Answer: (A)

To find the length of one side of a square when the area is known, you can use the formula for the area of a square, which is given by: \[ \text{Area} = \text{side}^2 \] In this case, the area is 64 m². To find the length of one side, you take the square root of the area: \[ \text{side} = \sqrt{\text{Area}} \] So, you would calculate: \[ \text{side} = \sqrt{64} = 8 \, m \] Therefore, the length of one side is 8 m, which accurately reflects the relationship defined by the area of a square. The other options represent lengths that, when squared, do not equal 64 m². For instance, 16 m squared would yield 256 m², and 4 m squared would only yield 16 m², indicating they do not correspond to the given area.

To find the length of one side of a square when the area is known, you can use the formula for the area of a square, which is given by:

[ \text{Area} = \text{side}^2 ]

In this case, the area is 64 m². To find the length of one side, you take the square root of the area:

[ \text{side} = \sqrt{\text{Area}} ]

So, you would calculate:

[ \text{side} = \sqrt{64} = 8 , m ]

Therefore, the length of one side is 8 m, which accurately reflects the relationship defined by the area of a square. The other options represent lengths that, when squared, do not equal 64 m². For instance, 16 m squared would yield 256 m², and 4 m squared would only yield 16 m², indicating they do not correspond to the given area.