You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
What percent of square $ABCD$ is shaded if $ABCD$ is a square with side length 7? All angles in the diagram are right angles, and shaded regions include:
- A smaller square in the bottom left corner with side length 2.
- A medium square from the bottom left corner with one vertex 4 units away from the left side and another vertex 4 units away from the bottom side.
- A large area from the bottom left corner with one vertex 6 units away from the left side and another vertex 6 units away from the bottom side.
user
73.47\%
rule
What percent of square $ABCD$ is shaded if $ABCD$ is a square with side length 7? All angles in the diagram are right angles, and shaded regions include:
- A smaller square in the bottom left corner with side length 2.
- A medium square from the bottom left corner with one vertex 4 units away from the left side and another vertex 4 units away from the bottom side.
- A large area from the bottom left corner with one vertex 6 units away from the left side and another vertex 6 units away from the bottom side.
train