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.
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Here are the solutions to the questions: 3.1.1 Area of VCAZ Step 1: Identify the shape and its dimensions. VCAZ is a square with side length VC = x units. Step 2: Apply the formula for the area of a square. Area of VCAZ = side × side = x × x = x^2 units^2. The area of VCAZ is x^2 Units^2. 3.1.2 Area of ZADY Step 1: Identify the shape and its dimensions. ZADY is a rectangle. Its length is ZA = x units. Its width is ZY = 2 units. Step 2: Apply the formula for the area of a rectangle. Area of ZADY = length × width = ZA × ZY = x × 2 = 2x units^2. The area of ZADY is 2x Units^2. 3.1.3 Area of CWBA Step 1: Identify the shape and its dimensions. CWBA is a rectangle. Its length is CW = 2 units. Its width is CB. From the diagram, CB = VA. Since VCAZ is a square, VA = VC = x units. So, CB = x units. Step 2: Apply the formula for the area of a rectangle. Area of CWBA = length × width = CW × CB = 2 × x = 2x units^2. The area of CWBA is 2x Units^2. 3.1.4 Area of ABXD Step 1: Identify the shape and its dimensions. ABXD is a square with side length AB = 2 units. Step 2: Apply the formula for the area of a square. Area of ABXD = side × side = 2 × 2 = 4 units^2. The area of ABXD is 4 Units^2. 3.1.5 (x+2)(x+2)= Step 1: Expand the product. (x+2)(x+2) = x(x+2) + 2(x+2) Step 2: Distribute and simplify. = x^2 + 2x + 2x + 4 = x^2 + 4x + 4 Last free one today — make it count tomorrow, or type /upgrade for unlimited.