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 how to find the area of these trapeziums. The formula for the area of a trapezium is: Area = (1)/(2)(a+b)h where a and b are the lengths of the parallel sides, and h is the perpendicular height. b) Step 1: Identify the parallel sides and the perpendicular height. From the image, the parallel sides are a = 4 cm and b = 6 cm. The perpendicular height h = 4 cm (the side perpendicular to the parallel sides). Step 2: Substitute the values into the area formula. Area_b = (1)/(2)(4 cm + 6 cm)(4 cm) Step 3: Calculate the area. Area_b = (1)/(2)(10 cm)(4 cm) Area_b = (1)/(2)(40 cm^2) Area_b = 20 cm^2 The area of trapezium b) is 20 cm^2. c) Step 1: Identify the parallel sides and the perpendicular height. From the image, the parallel sides are a = 8 m and b = 4 m. The perpendicular height h = 5 m (the internal line segment shown). Step 2: Substitute the values into the area formula. Area_c = (1)/(2)(8 m + 4 m)(5 m) Step 3: Calculate the area. Area_c = (1)/(2)(12 m)(5 m) Area_c = (1)/(2)(60 m^2) Area_c = 30 m^2 The area of trapezium c) is 30 m^2. What's next?