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 areas of the shapes: a) This is a rectangle. Step 1: Identify the formula for the area of a rectangle. Area = length × width Step 2: Substitute the given values. Area = 9\, m × 5\, m Step 3: Calculate the area. Area = 45\, m^2 The area of shape (a) is 45\, m^2. b) This is a triangle. Step 1: Identify the formula for the area of a triangle. Area = (1)/(2) × base × height Step 2: Substitute the given values. Area = (1)/(2) × 5\, cm × 3\, cm Step 3: Calculate the area. Area = (1)/(2) × 15\, cm^2 Area = 7.5\, cm^2 The area of shape (b) is 7.5\, cm^2. c) This is a parallelogram. Step 1: Identify the formula for the area of a parallelogram. Area = base × height Step 2: Substitute the given values. Area = 6\, m × 6.5\, m Step 3: Calculate the area. Area = 39\, m^2 The area of shape (c) is 39\, m^2. d) This is a right-angled triangle. Step 1: Identify the formula for the area of a triangle. Area = (1)/(2) × base × height Step 2: Substitute the given values. Area = (1)/(2) × 4\, cm × 6.2\, cm Step 3: Calculate the area. Area = (1)/(2) × 24.8\, cm^2 Area = 12.4\, cm^2 The area of shape (d) is 12.4\, cm^2. 3 done, 2 left today. You're making progress.