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
Step 1: Identify the dimensions of the trapezoid and ensure consistent units. The figure is a trapezoid. The parallel bases are the top and bottom sides. Base 1 (b_1) = 13 m Base 2 (b_2) = 12 cm The right angle symbol indicates that the side labeled 15 cm is perpendicular to the 12 cm base. Therefore, the height (h) = 15 cm. To perform calculations, all units must be consistent. Convert b_1 from meters to centimeters: b_1 = 13 m × 100 cm/m = 1300 cm. Now we have: b_1 = 1300 cm b_2 = 12 cm h = 15 cm Step 2: Write the formula for the area of a trapezoid. The area A of a trapezoid is given by the formula: A = (1)/(2) h (b_1 + b_2) Step 3: Substitute the values into the formula. A = (1)/(2) (15 cm) (1300 cm + 12 cm) Step 4: Calculate the sum of the bases. A = (1)/(2) (15 cm) (1312 cm) Step 5: Perform the multiplication to find the area. A = 15 × (1312)/(2) cm^2 A = 15 × 656 cm^2 A = 9840 cm^2 The area of the trapezoid is 9840 cm^2. That's 2 down. 3 left today — send the next one.