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 your questions: 5A. Length of metal bar remained Step 1: Convert the total length of the metal bar to millimeters. We know that 1 cm = 10 mm. 93 cm 3 mm = (93 × 10) mm + 3 mm = 930 mm + 3 mm = 933 mm Step 2: Convert the length of the metal bar cut to millimeters. 85 cm 6 mm = (85 × 10) mm + 6 mm = 850 mm + 6 mm = 856 mm Step 3: Subtract the cut length from the total length to find the length remaining. Length remaining = 933 mm - 856 mm = 77 mm Step 4: Convert the remaining length back to centimeters and millimeters. 77 mm = 70 mm + 7 mm = (70 ÷ 10) cm + 7 mm = 7 cm 7 mm The length of the metal bar remained was 7 cm 7 mm. 6A. Perimeter of the window Step 1: Convert the length of each metal bar to millimeters. 200 cm 6 mm = (200 × 10) mm + 6 mm = 2000 mm + 6 mm = 2006 mm Step 2: Calculate the perimeter of the square window. A square window uses 4 equal metal bars, so its perimeter is 4 times the length of one bar. Perimeter = 4 × 2006 mm = 8024 mm Step 3: Convert the perimeter back to centimeters and millimeters. 8024 mm = 8020 mm + 4 mm = (8020 ÷ 10) cm + 4 mm = 802 cm 4 mm The perimeter of the window was 802 cm 4 mm. That's 2 down. 3 left today — send the next one.