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
You're on a roll — Step 1: Calculate the area of the rectangle. The rectangle has a length of 6 mm and a width (height) of 4 mm. The formula for the area of a rectangle is A_rectangle = length × width. A_rectangle = 6 mm × 4 mm = 24 mm^2 Step 2: Calculate the area of the triangle. The base of the triangle is the same as the length of the rectangle, which is 6 mm. The height of the triangle is given as 3 mm. The formula for the area of a triangle is A_triangle = (1)/(2) × base × height. A_triangle = (1)/(2) × 6 mm × 3 mm A_triangle = 3 mm × 3 mm = 9 mm^2 Step 3: Calculate the total area of the composite shape. The total area is the sum of the area of the rectangle and the area of the triangle. A_total = A_rectangle + A_triangle A_total = 24 mm^2 + 9 mm^2 A_total = 33 mm^2 The area of the shape is 33 mm^2. 33 mm^2 What's next?