Area of Polygons - Worksheet 4 - 10th Grade
MediumCalculate the area of triangles, quadrilaterals, and polygons (Medium)
24 problems · 15-20 minutes · Skills: area, geometry, measurement
About This Worksheet
This medium-level worksheet contains 24 problems designed for 10th Grade students practicing area of polygons. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Area calculation is one of the most directly applicable skills in all of geometry. From flooring and painting to land surveying and architecture, the ability to compute areas of polygons is a practical competency used throughout engineering, construction, and design.
- Calculate the area of triangles, parallelograms, trapezoids, and regular polygons
- Apply the formula for the area of a regular polygon using the apothem
- Solve composite-area problems by adding or subtracting simpler shapes
- Derive the apothem length of a regular polygon using trigonometry or the Pythagorean Theorem
- Convert between square units when area problems involve mixed measurements
How to Solve: Worked Example
- Area = ½ × (b₁ + b₂) × h.
- = ½ × (17 + 8) × 10.
- = ½ × 25 × 10 = 125.
Answer Key
Frequently Asked Questions
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Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this area & volume worksheet cover?
This worksheet focuses on area, geometry, measurement. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 24 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.