What is the length of each side of a square that has the same area as a rectangle that is 12 mm long and 18 mm wide?
A = LW
A = 12 * 18
A = 216 = area of rectangle
Square root of 216 = side of square
To find the length of each side of a square that has the same area as the given rectangle, we can use the formula for the area of a rectangle, which is length multiplied by width.
Given that the rectangle has a length of 12 mm and a width of 18 mm, we can calculate its area:
Area of rectangle = length x width
= 12 mm x 18 mm
= 216 mm²
Since a square has equal sides, we need to find the side length of the square that also has an area of 216 mm². To do this, we can take the square root of the area because the side length of the square is the same as the square root of its area.
√(216 mm²) = 14.7 mm (approximately)
Therefore, the length of each side of the square with the same area as the given rectangle is approximately 14.7 mm.