Each side of square ABCD has a length of 48m.A certain rectangle whose (September 2023 - G01)

Correct answer: K. 192.
We can solve this problem by finding the area of the square and then determining the length of the rectangle with the same area but a width of 12 meters.

Area of the Square:
Square ABCD has all sides equal to 48 meters.
The area of a square is calculated by squaring the side length.
Area of square ABCD = side^2 = 48 meters * 48 meters = 2304 square meters
Rectangle with Same Area:
The rectangle has a width of 12 meters (given).
We need to find the rectangle's length such that its area equals the area of the square (2304 square meters).
Finding the Rectangle's Length:
Let L be the length of the rectangle.
Area of a rectangle = width x length
We know the area of the rectangle should be equal to the area of the square: 2304 square meters = 12 meters (width) * L (length)
Solve for L (length):
Divide both sides by the width (12 meters) to isolate L: L = 2304 square meters / 12 meters L = 192 meters