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: (a) Step 1: Identify the dimensions of the rectangular invitation card and convert units to millimeters. The width of the card is 120 mm. The length of the card is 15 cm. To convert centimeters to millimeters, multiply by 10: 15 cm = 15 × 10 mm = 150 mm Step 2: Calculate the area of the rectangular invitation card using the formula Area = length × width. Area of rectangle = 150 mm × 120 mm Area of rectangle = 18000 mm^2 The area of the rectangular invitation card is 18000 mm^2. (b) Step 1: Calculate the radius of the circular photo. The diameter of the circular photo is 80 mm. The radius is half of the diameter: Radius = 80 mm2 = 40 mm Step 2: Calculate the area of the circular photo using the formula Area = × radius^2, with = 3.14. Area of circle = 3.14 × (40 mm)^2 Area of circle = 3.14 × 1600 mm^2 Area of circle = 5024 mm^2 Step 3: Calculate the area of the rectangular invitation card without the photo by subtracting the area of the circle from the total area of the rectangle (calculated in part a). Area without photo = Area of rectangle - Area of circle Area without photo = 18000 mm^2 - 5024 mm^2 Area without photo = 12976 mm^2 The area of the rectangular invitation card without the photo is 12976 mm^2. That's 2 down. 3 left today — send the next one.