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
2.1.1 Step 1: Identify the dimensions of the office from the diagram. The length of the office is 6 m. The breadth (height) of the office is the same as the height of the Strong Room, which is 3 m. Step 2: Calculate the perimeter using the formula P = 2(length + breadth). P = 2(6 m + 3 m) P = 2(9 m) P = 18 m The perimeter of the office is 18 m. 2.1.2 Step 1: Identify the dimensions of the office. Length (l) = 6 m Breadth (b) = 3 m Step 2: Calculate the area using the formula A = length × breadth. A = 6 m × 3 m A = 18 m^2 The area of the office is 18 m^2. 2.2.1 Step 1: Identify the dimensions of the playfield and ensure consistent units. The base of the playfield is 300 cm. Convert this to meters: 300 cm = 300 × (1)/(100) m = 3 m The height of the playfield is 4 m. Step 2: Calculate the area using the formula A = (1)/(2) × base × height. A = (1)/(2) × 3 m × 4 m A = (1)/(2) × 12 m^2 A = 6 m^2 The area of the playfield is 6 m^2. 2.2.2 Step 1: State the total area to be covered and the coverage per bag. Total area of playfield = 6 m^2 Area covered by one bag of sand = 1.6 m^2 Step 2: Calculate the number of bags needed. Number of bags = Total areaArea covered by one bag Number of bags = 6 m^21.6 m^2/bag Number of bags = 3.75 bags Step 3: Round up to the nearest whole number since you cannot buy a fraction of a bag. They will need to buy 4 bags. That's 2 down. 3 left today — send the next one.