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
You're on a roll — Step 1: Calculate the area of the first rectangle. The measurements of the first rectangle are 3k by 3. The area of a rectangle is length × width. Area_1 = (3k) × 3 = 9k Step 2: Calculate the area of the second rectangle. The measurements of the second rectangle are k+3 by 6. Area_2 = (k+3) × 6 Step 3: Set the areas equal to each other. Since the two rectangles have the exact same area: Area_1 = Area_2 9k = 6(k+3) Step 4: Distribute and simplify the equation. 9k = 6k + 18 Step 5: Solve for k. Subtract 6k from both sides of the equation: 9k - 6k = 18 3k = 18 Divide by 3: k = (18)/(3) k = 6 The value of k is: k = 6 Drop the next question.