Worksheets · Geometry

Area of composite figures worksheet

Cut the figure into rectangles, triangles and half circles and add their areas, or take the whole rectangle and subtract the piece that is missing. Perimeter goes round the outside only; an L-shape has the same perimeter as the rectangle it was cut from.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Composite Figures

Date Period

Find the area or perimeter of each figure.

  1. Find the area, in terms of π510
  2. Find the perimeter18612
  3. Find the area, in terms of π168
  4. Find the perimeter1696
  5. Find the area12834
  6. Find the perimeter111444
  7. Find the area121495
  8. Find the perimeter1511113
  9. Find the area, in terms of π1212
  10. Find the perimeter8123
  11. Find the area101133
  12. Find the perimeter10412
  13. Find the area6149
  14. Find the perimeter201385
  15. Find the area, in terms of π2014
  16. Find the perimeter181312
  17. Find the shaded area10662
  18. Find the perimeter16156
  19. Find the area, in terms of π712
  20. Find the perimeter6154

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Composite FiguresAnswer keyVersion 1

Date Period

Find the area or perimeter of each figure.

  1. Find the area, in terms of π51050+252π
  2. Find the perimeter1861260
  3. Find the area, in terms of π168128+8π
  4. Find the perimeter169654
  5. Find the area1283484
  6. Find the perimeter11144450
  7. Find the area121495123
  8. Find the perimeter151111352
  9. Find the area, in terms of π1212144+18π
  10. Find the perimeter812342
  11. Find the area101133101
  12. Find the perimeter1041244
  13. Find the area6149111
  14. Find the perimeter20138566
  15. Find the area, in terms of π2014280+492π
  16. Find the perimeter18131274
  17. Find the shaded area1066248
  18. Find the perimeter1615666
  19. Find the area, in terms of π71284+18π
  20. Find the perimeter615446

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the area

  1. The whole rectangle is 12 by 8, which is 96.
  2. The notch is 5 by 3, which is 15.
  3. 96 - 15.

The answer is 81.

Where students go wrong

Adding the notch instead of subtracting it, and on a semicircle, forgetting to halve the circle.

Also called compound shapes, irregular figures, shaded regions or area of composite shapes.

What you can put on this worksheet

Area of a composite figure
Find the area 110
Perimeter of a composite figure
Find the perimeter 50

Questions about these worksheets

Yes. Every area of composite figures sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the area of composite figures questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: area of a composite figure and perimeter of a composite figure. Tick as many as you want and set how many of each, or let it spread them evenly.

Adding the notch instead of subtracting it, and on a semicircle, forgetting to halve the circle.