This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Compare the areas of shape A and shape B. From previous calculations: The area of shape A is . The area of shape B is . Comparing these values, . Therefore, the area of shape B is greater than the area of shape A.
Step 2: Compare the perimeters of shape A and shape B. From previous calculations: The perimeter of shape A is . The perimeter of shape B is . Comparing these values, . Therefore, the perimeter of shape A is greater than the perimeter of shape B.
Comparison of Areas: The area of shape A is . The area of shape B is . Shape B has a larger area than shape A.
Comparison of Perimeters: The perimeter of shape A is . The perimeter of shape B is . Shape A has a larger perimeter than shape B.
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Compare the areas of shape A and shape B. From previous calculations: The area of shape A is 84\, cm^2.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.