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
Welcome back anngachuiri0 — missed you this week. To calculate the area of the square, we first need to find the value of x. Since all sides of a square are equal, we can set the two given expressions for the side lengths equal to each other. Step 1: Set the side lengths equal to each other and solve for x. 3x + 5 = 2x + 9 Subtract 2x from both sides: 3x - 2x + 5 = 9 x + 5 = 9 Subtract 5 from both sides: x = 9 - 5 x = 4 Step 2: Substitute the value of x into one of the side length expressions to find the length of a side. Using the expression (3x + 5) cm: Side = 3(4) + 5 Side = 12 + 5 Side = 17 cm (Alternatively, using (2x + 9) cm: 2(4) + 9 = 8 + 9 = 17 cm. Both give the same result.) Step 3: Calculate the area of the square. The area of a square is given by the formula Area = Side × Side. Area = 17 cm × 17 cm Area = 289 cm^2 The area of the square is 289 cm^2. Send me the next one 📸