Area of an Irregular Polygon - Math Practice Worksheet

Worksheet showing four irregular polygons with labeled dimensions for calculating area.

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- First, look closely: After zooming in on Problem 4, I can see the polygon is divided into a rectangle and two triangles. The rectangle has a height of 6 inches and a width of 8 inches. The top triangle has a base of 8 inches and a height of 5 inches. The bottom triangle has a base of 10 inches (the sum of 8 inches and 2 inches) and a height of 3 inches.

- Next, find information: I need to calculate the area of the rectangle and the two triangles separately and then sum them up. I will perform these calculations.

- Then, review the findings: The total area for Problem 4 is calculated as follows:
- Area of the rectangle = 6 in × 8 in = 48 in².
- Area of the top triangle = (1/2) × 8 in × 5 in = 20 in².
- Area of the bottom triangle = (1/2) × 10 in × 3 in = 15 in².
- Total area = 48 in² + 20 in² + 15 in² = 83 in².

The research is now complete. I have calculated the area for all four polygons.

- 124 in²
- 75 in²
- 105 in²
- 83 in²

Parent Tip: Review the logic above to help your child master the concept of area of irregular polygons worksheet.

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