Area of Composite Figures – Real-World Word Problems
In this engaging and practical worksheet, students apply geometry skills to calculate the area of composite figures through real-world word problems. From designing patios and laying out garden beds to estimating pool areas and park pathways, each problem challenges students to decompose complex shapes into simpler parts—rectangles, triangles, circles—and calculate total area by adding or subtracting.
This interactive worksheet is ideal for classroom practice, homework, or review sessions. Visual diagrams accompany each scenario, helping students connect geometry concepts with everyday applications.
What’s Included:
- 10 real-world composite area problems
- Color-coded diagrams for visual support
- Auto-graded inputs for instant feedback
- Teacher can enabled randomization (optional), that will give each student different dimensions for each shape, preventing copying of answers.
- Use of π as 3.14 for circular components
- Designed for 7th grade and aligned to Common Core standards
Skills Practiced:
- Area of rectangles, triangles, circles, and irregular shapes
- Decomposing complex shapes
- Applying addition and subtraction of areas
- Using real-world problem-solving strategies
Help students see how geometry is all around them—with this worksheet, they’ll not only master composite figures, but also understand why it matters.
Learning Objective
Students will learn to calculate the area of composite figures by breaking down complex, real-world shapes into simpler geometric components (such as rectangles, triangles, and circles). They will apply appropriate area formulas, perform necessary calculations using given dimensions, and add or subtract areas to find the total area of irregular figures. This reinforces spatial reasoning and builds fluency in applying geometry concepts to practical problems.
Randomization Available
Note: If randomization is enabled, the dimensions of each composite figure will vary for every student. This means that the shapes shown in the problems will have different lengths, widths, and radii across students. As a result, each student will calculate a unique total area, promoting individualized problem-solving and reducing copying.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
