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Sample Question 19:
Step 1: Split the figure into seven different sections.
Step 2: Count the number of rectangles that contain just one section, which is equal to 3.
Step 3: Count the number of rectangles that span two sections, which is equal to 5.
Step 4: Note there are no rectangles that span three sections.
Step 5: Count the number of rectangles that span four sections, which is equal to 3.
Step 6: Add up all the rectangles counted. Hence, \(3 + 5 + 3 = 11\).
Step 7: So, the total number of rectangles in the figure is 11. Therefore, the answer is \(\textbf{(D)}\ 11\).
How many rectangles are in this figure?
\(\textbf{(A)}\ 8\qquad\textbf{(B)}\ 9\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 11\qquad\textbf{(E)}\ 12\)
Answer Keys
Question 19: DSolutions
Question 19Step 1: Split the figure into seven different sections.
Step 2: Count the number of rectangles that contain just one section, which is equal to 3.
Step 3: Count the number of rectangles that span two sections, which is equal to 5.
Step 4: Note there are no rectangles that span three sections.
Step 5: Count the number of rectangles that span four sections, which is equal to 3.
Step 6: Add up all the rectangles counted. Hence, \(3 + 5 + 3 = 11\).
Step 7: So, the total number of rectangles in the figure is 11. Therefore, the answer is \(\textbf{(D)}\ 11\).