The area of a square is 64x^2. What is the length of a side?
The area of a square is the square of one side. So the length of a side is the square-root of the area, i.e.
Side = sqrt(64x^2)=8sqrt(x^2)=8x.
To find the length of a side of a square, we need to take the square root of the area.
In this case, the area of the square is given as 64x^2.
Taking the square root of the area, we get:
√(64x^2)
The square root of 64 is 8, so we can simplify further:
8√(x^2)
Since x^2 is a perfect square, the square root simplifies to x:
8x
Therefore, the length of a side of the square is 8x.
To find the length of a side of a square given its area, you can use the formula:
Area = side^2
In this case, we know that the area is 64x^2. So, we can set up the equation:
64x^2 = side^2
To solve for the length of a side, we need to take the square root of both sides of the equation. Remember that √(x^2) = x.
√(64x^2) = √(side^2)
Simplifying the square root:
8x = side
Therefore, the length of a side of the square is 8x.