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
Welcome back thembekamvelase78 — missed you this week. Here are the solutions to your questions: 1. Calculate the area of a rectangle with side 4cm and 5cm. Your answer must be in cm. Step 1: Identify the formula for the area of a rectangle. The area of a rectangle is given by the formula: A = length × width Step 2: Substitute the given values into the formula. Given length = 5 cm and width = 4 cm. A = 5 cm × 4 cm Step 3: Calculate the area. A = 20 cm^2 The area of the rectangle is 20 cm^2. 2. Calculate the area of a square if its side is 3m. Step 1: Identify the formula for the area of a square. The area of a square is given by the formula: A = side × side = side^2 Step 2: Substitute the given value into the formula. Given side = 3 m. A = (3 m)^2 Step 3: Calculate the area. A = 9 m^2 The area of the square is 9 m^2. 3. Find the area of a square if the diameter is 30cm. = 3.14 Assumption: The question likely intended to ask for the area of a circle given the diameter and the value of . A square does not have a diameter in the same way a circle does. If it were a square, would not be used. Step 1: Determine the radius of the circle. The radius r is half of the diameter. r = diameter2 = 30 cm2 = 15 cm Step 2: Identify the formula for the area of a circle. The area of a circle is given by the formula: A = r^2 Step 3: Substitute the given values into the formula. Given r = 15 cm and = 3.14. A = 3.14 × (15 cm)^2 A = 3.14 × 225 cm^2 Step 4: Calculate the area. A = 706.5 cm^2 The area of the circle is 706.5 cm^2. 4. Calculate the area of a triangle if the base is 28mm and the height is 15mm. Your answer should be in mm. Step 1: Identify the formula for the area of a triangle. The area of a triangle is given by the formula: A = (1)/(2) × base × height Step 2: Substitute the given values into the formula. Given base = 28 mm and height = 15 mm. A = (1)/(2) × 28 mm × 15 mm Step 3: Calculate the area. A = 14 mm × 15 mm A = 210 mm^2 The area of the triangle is 210 mm^2. Send me the next one 📸