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.
ScanSolve AI Answer
Here's how to solve the problem: Step 1: Understand the relationship between the areas of two similar shapes and the scale factor. If a shape is enlarged by a scale factor k, its area is enlarged by a factor of k^2. The formula is: Area of new shape = Area of original shape × (Scale Factor)^2 Step 2: Identify the given values from the problem. The scale factor (k) is 3. The area of Shape A (original shape) is 12. Step 3: Calculate the area of Shape B (new shape). Substitute the values into the formula: Area of B = 12 × (3)^2 Area of B = 12 × 9 Area of B = 108 The area of Shape B is 108. Last free one today — make it count tomorrow, or type /upgrade for unlimited.