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. The total area of the house and garage is... Step 1: Calculate the area of the house. Area of House = length × width = 15 m × 10 m = 150 m^2 Step 2: Calculate the area of the garage. Area of Garage = length × width = 5 m × 4 m = 20 m^2 Step 3: Add the areas of the house and garage to find the total area. Total Area = 150 m^2 + 20 m^2 = 170 m^2 The total area of the house and garage is 170 m^2. 2. What will it cost per 6 month contract to get this company to look after the lawn? Step 1: Calculate the total area of the property. Total Property Area = length × width = 40 m × 20 m = 800 m^2 Step 2: Determine the area of the lawn. The unshaded area is the lawn. Area of Lawn = Total Property Area - (Area of House + Area of Garage) Using the result from Question 1: Area of Lawn = 800 m^2 - 170 m^2 = 630 m^2 Step 3: Calculate the cost for the 6-month contract. The charge is R2,50 per m^2. Cost = Area of Lawn × Rate per m^2 Cost = 630 m^2 × R2.50/m^2 = R1575.00 The cost for the 6-month contract is R1 575,00. 3. The perimeter of this property is... Step 1: Identify the dimensions of the entire property. The property is a rectangle with a length of 40 m and a width of 20 m. Step 2: Use the formula for the perimeter of a rectangle. Perimeter = 2 × (length + width) Perimeter = 2 × (40 m + 20 m) Step 3: Calculate the perimeter. Perimeter = 2 × (60 m) = 120 m The perimeter of this property is 120 m. 3 done, 2 left today. You're making progress.