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 Buhle — been a while! Let's pick up where you left off. Step 1: Determine the length and width of one garage door in meters. From the diagram: The length (height) of one garage door is 2100 mm. The width of one garage door is 2440 mm. To convert millimeters to meters, we divide by 1000. Length = 2100 mm1000 mm/m = 2.100 m Width = 2440 mm1000 mm/m = 2.440 m The length of one garage door is 2.100 m and the width is 2.440 m. Step 2: Calculate A, the length of the wall between the two garage doors, in mm. The total length of the wall is given as 5480 mm. The diagram shows two side wall sections, each 150 mm wide. The diagram shows two garage doors, each 2440 mm wide. The total length of the wall is the sum of the two side wall sections, the two garage door widths, and the length A between the doors. 5480 mm = (2 × 150 mm) + (2 × 2440 mm) + A 5480 mm = 300 mm + 4880 mm + A 5480 mm = 5180 mm + A A = 5480 mm - 5180 mm A = 300 mm The length of A is 300 mm. Step 3: Determine the total area of the two garage doors. The area of one garage door is its length (height) multiplied by its width. Length of one garage door = 2100 mm Width of one garage door = 2440 mm Area of one garage door = 2100 mm × 2440 mm = 5124000 mm^2 The total area of the two garage doors is twice the area of one garage door. Total area of two garage doors = 2 × 5124000 mm^2 = 10248000 mm^2 The total area of the two garage doors is 10248000 mm^2. Step 4: Calculate the total area of the part of the wall that consists of bricks if B is 1.5 times the length of A. Give your answer in m². First, calculate B. B = 1.5 × A From Step 2, $