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 each part. The rectangle is divided into four smaller rectangles by thick lines. • The top-left part is 3 small squares wide and 2 small squares high. • The top-right part is 3 small squares wide and 2 small squares high. • The bottom-left part is 3 small squares wide and 2 small squares high. • The bottom-right part is 3 small squares wide and 2 small squares high. Step 2: Calculate the area of each part. The area of each part is found by multiplying its width by its height (in terms of small squares). • Area of top-left part = 3 × 2 = 6 small squares. • Area of top-right part = 3 × 2 = 6 small squares. • Area of bottom-left part = 3 × 2 = 6 small squares. • Area of bottom-right part = 3 × 2 = 6 small squares. Step 3: Compare the areas. Since each of the four parts has an area of 6 small squares, their areas are equal. 3) Yes, the four parts of the rectangle are equal in area. We know this because each part is a rectangle with dimensions of 3 small squares by 2 small squares, resulting in an area of 3 × 2 = 6 small squares for each part.