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
Nazi, let's knock this out. The shape consists of a rectangle and a semicircle. Step 1: Calculate the area of the rectangular part. The length of the rectangle is 57 cm and the width is 16 cm. Area_rectangle = length × width Area_rectangle = 57 cm × 16 cm Area_rectangle = 912 cm^2 Step 2: Calculate the area of the semicircular part. The diameter of the semicircle is 16 cm, so the radius is r = (16)/(2) = 8 cm. We use = 3.142. Area_semicircle = (1)/(2) r^2 Area_semicircle = (1)/(2) × 3.142 × (8 cm)^2 Area_semicircle = (1)/(2) × 3.142 × 64 cm^2 Area_semicircle = 3.142 × 32 cm^2 Area_semicircle = 100.544 cm^2 Step 3: Calculate the total area of the shape. Total Area = Area_rectangle + Area_semicircle Total Area = 912 cm^2 + 100.544 cm^2 Total Area = 1012.544 cm^2 Step 4: Round the total area to 1 decimal place. Total Area ≈ 1012.5 cm^2 The area of the shape is 1012.5 cm^2. Send me the next one 📸