How many rectangles are there in the diagram? [Image]
How many rectangles are there in the diagram?
Select an option to attempt
Correct Answer: Option D
Explanation
Counting rectangles in a grid (geometric reasoning):For a grid with m horizontal lines and n vertical lines:Number of rectangles =(2m)×(2n)For the given figure with the appropriate number of horizontal and vertical lines, systematically counting all rectangles (including squares and composite rectangles) yields 12.Method: Choose any 2 horizontal lines and any 2 vertical lines; each combination defines exactly one rectangle.Answer: 12 rectangles (Option 4).
