Question

A rectangle has the dimensions 2, 18. What is the side length of a square with the same area as the rectangle?

a) 3
b) 4
c) 5
d) 6

Answer 1

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).