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's the solution for question 3. The problem describes Ngozi's bedroom, which is rectangular, and a square carpet. a) Find the area of the room not covered by the carpet. Step 1: Calculate the area of the bedroom. The bedroom measures 10 m by 8 m. The area of a rectangle is given by length × width. Area of bedroom = 10 m × 8 m = 80 m^2 Step 2: Calculate the area of the carpet. The carpet is a square with sides 6 m. The area of a square is given by side × side. Area of carpet = 6 m × 6 m = 36 m^2 Step 3: Find the area of the room not covered by the carpet. This is the difference between the area of the bedroom and the area of the carpet. Area not covered = Area of bedroom - Area of carpet Area not covered = 80 m^2 - 36 m^2 = 44 m^2 b) How much did the father pay for the carpet if one meter square cost 550ps? Step 4: Calculate the total cost of the carpet. The cost per square meter is 550 ps. The total cost is the area of the carpet multiplied by the cost per square meter. Total cost = Area of carpet × Cost per m^2 Total cost = 36 m^2 × 550 ps/m^2 Total cost = 19800 ps The father paid 19800 ps for the carpet. 3 done, 2 left today. You're making progress.