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 L-shaped figure into two rectangles. We can divide Fig 1.1 into two rectangles: • Rectangle 1: The top-left vertical part. • Rectangle 2: The bottom-right horizontal part. Step 2: Calculate the dimensions and area of Rectangle 1. Rectangle 1 has a width of 4 cm and a height of 6 cm. The area of Rectangle 1 (A_1) is: A_1 = width × height = 4 cm × 6 cm = 24 cm^2 Step 3: Calculate the dimensions and area of Rectangle 2. Rectangle 2 has a height of 4 cm (given on the right side). The total width of the figure is the sum of the top horizontal segment (4 cm) and the inner horizontal segment (6 cm). Total width = 4 cm + 6 cm = 10 cm. So, Rectangle 2 has a width of 10 cm and a height of 4 cm. The area of Rectangle 2 (A_2) is: A_2 = width × height = 10 cm × 4 cm = 40 cm^2 Step 4: Calculate the total area of Fig 1.1. The total area (A_total) is the sum of the areas of Rectangle 1 and Rectangle 2. A_total = A_1 + A_2 = 24 cm^2 + 40 cm^2 = 64 cm^2 The area of Fig 1.1 is 64 cm^2. That's 2 down. 3 left today — send the next one.