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
Here are the solutions to the questions: 1.1.1 ABJH Step 1: Identify the shape and its dimensions. ABJH is a square with side length AB = AH = x units. Step 2: Apply the formula for the area of a square. Area of ABJH = side × side = x × x = x^2 units^2. The area of ABJH is x^2 Units^2. 1.1.2 BCDJ Step 1: Identify the shape and its dimensions. BCDJ is a rectangle. Its length is BC = 6 units. Its width is BJ. Since ABJH is a square, BJ = AH = x units. Step 2: Apply the formula for the area of a rectangle. Area of BCDJ = length × width = BC × BJ = 6 × x = 6x units^2. The area of BCDJ is 6x Units^2. 1.1.3 DEFJ Step 1: Identify the shape and its dimensions. DEFJ is a rectangle. Its length is JD. From the diagram, JD = BC = 6 units. Its width is JF. From the diagram, JF = HG = 4 units. Step 2: Apply the formula for the area of a rectangle. Area of DEFJ = length × width = JD × JF = 6 × 4 = 24 units^2. The area of DEFJ is 24 Units^2. 1.1.4 HJFG Step 1: Identify the shape and its dimensions. HJFG is a rectangle. Its length is HG = 4 units. Its width is HJ. Since ABJH is a square, HJ = AB = x units. Step 2: Apply the formula for the area of a rectangle. Area of HJFG = length × width = HG × HJ = 4 × x = 4x units^2. The area of HJFG is 4x Units^2. 1.2.1 AC Step 1: Identify the segments that make up AC. The length AC is the sum of the lengths of segments AB and BC. Step 2: Substitute the given values. AC = AB + BC = x + 6 units. The length of AC is x+6 Units. 1.2.2 AG Step 1: Identify the segments that make up AG. The length AG is the sum of the lengths of segments AH and HG. Step 2: Substitute the given values. AG = AH + HG = x + 4 units. The length of AG is x+4 Units. Send me the next one 📸