Final answer:
The side length of a square with the same area as a rectangle with dimensions 2 and 18 is found by calculating the area of the rectangle (2 × 18 = 36 square inches) and then determining the square root of this area, which is 6 inches.
Step-by-step explanation:
The question asks what is the side length of a square with the same area as a rectangle with dimensions 2 and 18. To find this, we first calculate the area of the rectangle, which is the product of its length and width:
Area of rectangle = Length × Width = 2 inches × 18 inches = 36 square inches.
Since the area of a square is equal to the side length squared, we set up the equation:
Side length × Side length = 36
Side length^2 = 36
To find the side length, we take the square root of the area:
Side length = √36
Side length = 6 inches.
Therefore, the side length of the square with the same area as the rectangle is 6 inches, which corresponds to option (d).