The area of the square is 64 in. The square was cut into congruent rectangles. What are the dimensions of each small rectangle?
The square is 8 on a side because 8*8 = 64
Cut it down the middle and you get two rectangles each 4 * 8
To find the dimensions of each small rectangle, we need to know how the square was divided. Could you please provide more information on how the square was cut?
To find the dimensions of each small rectangle, we need to start by determining the side length of the original square. Since the area of a square is calculated by multiplying the length of one side by itself, we can use this information to find the side length.
Given that the area of the square is 64 in^2, we can use the formula for the area of a square:
Area = side length * side length
Substituting the given area, we have:
64 = side length * side length
To find the side length, we take the square root of both sides of the equation:
√64 = √(side length * side length)
Simplifying:
8 = side length
Now that we know the side length of the square is 8 in, we can proceed to cut it into congruent rectangles. Since the square has all sides equal, each rectangle will also have equal sides.
Therefore, each small rectangle will have dimensions of 8 in by 8 in.