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
Step 1: Divide the shape into three rectangles. The shape can be divided into a left vertical rectangle, a right vertical rectangle, and a middle horizontal rectangle. Step 2: Calculate the area of the left vertical rectangle. The width of the left rectangle is 2 cm and its height is 8 cm. Area_left = 2 cm × 8 cm = 16 cm^2 Step 3: Calculate the area of the right vertical rectangle. The width of the right rectangle is 5 cm and its height is 8 cm. Area_right = 5 cm × 8 cm = 40 cm^2 Step 4: Calculate the area of the middle horizontal rectangle. The length of the middle rectangle is 8 cm. The total height of the shape is 8 cm. The labels "3 cm" indicate the height of the cut-outs from the top and bottom. Therefore, the height of the middle rectangle is 8 cm - 3 cm - 3 cm = 2 cm. Area_middle = 8 cm × 2 cm = 16 cm^2 Step 5: Sum the areas of the three rectangles to find the total area. Total Area = Area_left + Area_right + Area_middle Total Area = 16 cm^2 + 40 cm^2 + 16 cm^2 = 72 cm^2 The total area of the shape is 72 cm^2. Send me the next one 📸