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Area of Composite Figures - Worksheet 8 - 7th Grade

Hard

Use labeled dimensions to calculate area of composite figures and explain the units.

hard: Solve for a missing measure or explain a relationship.

18 problems · 20-30 minutes · Skills: geometry, area, problem solving

About This Worksheet

This hard-level worksheet contains 18 problems designed for 7th Grade students practicing area of composite figures. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Read labeled dimensions and coordinates. Recall multiplication facts and length units.

  • Use labeled dimensions to calculate area of composite figures and explain the units.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 5 m by 7 m. The lower rectangle is 8 m by 4 m. Find the total area.
Solution Steps:
  1. Upper area: 5 × 7 = 35.
  2. Lower area: 8 × 4 = 32.
  3. Add the two areas; no part is counted twice.
Answer: 67 m²
Tip: Check your result using the method in the example before moving to the next question.
1
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 5 m by 2 m. The lower rectangle is 13 m by 4 m. Find the total area.
5 m2 m4 m13 m
Diagram not to scale.
2
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 12 m by 6 m. The lower rectangle is 20 m by 8 m. Find the total area.
12 m6 m8 m20 m
Diagram not to scale.
3
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 10 m by 2 m. The lower rectangle is 13 m by 5 m. Find the total area.
10 m2 m5 m13 m
Diagram not to scale.
4
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 8 m by 5 m. The lower rectangle is 11 m by 8 m. Find the total area.
8 m5 m8 m11 m
Diagram not to scale.
5
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 15 m by 5 m. The lower rectangle is 22 m by 8 m. Find the total area.
15 m5 m8 m22 m
Diagram not to scale.
6
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 2 m by 2 m. The lower rectangle is 9 m by 8 m. Find the total area.
2 m2 m8 m9 m
Diagram not to scale.
7
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 15 m by 8 m. The lower rectangle is 22 m by 8 m. Find the total area.
15 m8 m8 m22 m
Diagram not to scale.
8
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 15 m by 2 m. The lower rectangle is 18 m by 2 m. Find the total area.
15 m2 m2 m18 m
Diagram not to scale.
9
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 3 m by 3 m. The lower rectangle is 5 m by 3 m. Find the total area.
3 m3 m3 m5 m
Diagram not to scale.
10
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 8 m by 7 m. The lower rectangle is 15 m by 3 m. Find the total area.
8 m7 m3 m15 m
Diagram not to scale.
11
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 3 m by 3 m. The lower rectangle is 6 m by 2 m. Find the total area.
3 m3 m2 m6 m
Diagram not to scale.
12
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 14 m by 3 m. The lower rectangle is 18 m by 4 m. Find the total area.
14 m3 m4 m18 m
Diagram not to scale.
13
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 11 m by 4 m. The lower rectangle is 13 m by 7 m. Find the total area.
11 m4 m7 m13 m
Diagram not to scale.
14
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 6 m by 7 m. The lower rectangle is 14 m by 5 m. Find the total area.
6 m7 m5 m14 m
Diagram not to scale.
15
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 3 m by 9 m. The lower rectangle is 9 m by 5 m. Find the total area.
3 m9 m5 m9 m
Diagram not to scale.
16
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 6 m by 4 m. The lower rectangle is 12 m by 3 m. Find the total area.
6 m4 m3 m12 m
Diagram not to scale.
17
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 2 m by 6 m. The lower rectangle is 8 m by 2 m. Find the total area.
2 m6 m2 m8 m
Diagram not to scale.
18
An L-shaped floor is made from two non-overlapping rectangles. The upper rectangle is 7 m by 5 m. The lower rectangle is 15 m by 3 m. Find the total area.
7 m5 m3 m15 m
Diagram not to scale.

Answer Key

1. 62 m²2. 232 m²3. 85 m²4. 128 m²5. 251 m²6. 76 m²7. 296 m²8. 66 m²9. 24 m²10. 101 m²11. 21 m²12. 114 m²13. 135 m²14. 112 m²15. 72 m²16. 60 m²17. 28 m²18. 80 m²

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This worksheet focuses on geometry, area, problem solving. It is designed for 7th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

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This worksheet contains 18 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.