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
Let's review your work for Question 3. Shape 1 (Rectangle): Your setup for the perimeter of the rectangle, P = 2(L+W) = 2(9 cm + 7 cm) = 2(16 cm), is ✅ Correct. The final perimeter is 2 × 16 cm = 32 cm. Shape 2 (Combined shape): Your calculations for the second shape (e.g., P = 2(4+3) = 14 cm and 5+5+3 = 13 cm) are ❌ Incorrect for the perimeter of the entire composite shape. The perimeter of a composite shape is the sum of all its outer edges. Your calculations either found the perimeter of only the rectangular part or incorrectly summed internal lines and parts of the shape. Step 1: Identify all the outer side lengths of the combined shape. The outer sides are 4 cm (top), 3 cm (left), 4 cm (bottom), 5 cm (right slanted), and 5 cm (top slanted). Step 2: Add all the outer side lengths to find the perimeter. P = 4 cm + 3 cm + 4 cm + 5 cm + 5 cm Step 3: Calculate the sum. P = 21 cm The correct perimeter of the second shape is 21 cm. 3 done, 2 left today. You're making progress.