- The image displays a drawing on a coordinate grid, where the horizontal axis represents the x-coordinates and the vertical axis represents the y-coordinates.
- The main body of the figure is a large red shape, which can be broken down into several geometric parts for area calculation: a trapezoid for the upper section and a rectangle for the lower section.
- The upper trapezoid spans from x = -14 to x = 13 (width = 27 units) at its base and from x = -6 to x = 6 (width = 12 units) at its top. Its height extends from y = -8 to y = 9 (height = 17 units).
- The area of a trapezoid is calculated as (sum of parallel sides) × height / 2. So, Area_upper = (27 + 12) × 17 / 2 = 39 × 17 / 2 = 331.5 square units.
- The lower rectangle spans from x = -10 to x = 10 (width = 20 units) and from y = -8 to y = -18 (height = 10 units).
- The area of a rectangle is width × height. So, Area_lower = 20 × 10 = 200 square units.
- The total area of the red body is the sum of the upper trapezoid and lower rectangle: 331.5 + 200 = 531.5 square units.
- There are additional black shapes: a tie, eyes, and outlines, but these are not part of the main red body and their areas are not requested in the problem.
- The green grass at the bottom is also a separate element and not included in the main body's area calculation.
- Therefore, the total area of the main red body is 531.5 square units.
Parent Tip: Review the logic above to help your child master the concept of graphiti math worksheet.
