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: Identify the dimensions of the L-shaped figure. The left vertical side is 80 cm high and 40 cm wide. The upper right vertical side is 50 cm high. Thus, the bottom arm height is 80 - 50 = 30 cm. The bottom arm extends 60 cm to the right. 80~cm - 50~cm = 30~cm Step 2: Calculate the area using a large rectangle minus the missing rectangle. Large rectangle: width = 40~cm + 60~cm = 100~cm, height = 80~cm. Area of large rectangle: 100~cm × 80~cm = 8000~cm^2 Missing rectangle (top right): width = 60~cm, height = 50~cm. Area of missing rectangle: 60~cm × 50~cm = 3000~cm^2 Step 3: Subtract to find the area of the L-shape. 8000~cm^2 - 3000~cm^2 = 5000~cm^2 5000 cm^2