Worksheets · Geometry

Area of triangles and quadrilaterals worksheet

Five formulas, and four of them are a base times a height with or without a half. The trapezoid averages its two bases first; the rhombus uses its diagonals instead.

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

Area of Triangles and Quadrilaterals

Date Period

Find each area.

  1. Find the area212.5
  2. Find the area1312.5
  3. Find the area118.5
  4. Find the area91111.5
  5. Find the area510.5
  6. Find the area710.5
  7. Find the area511.5
  8. Find the area68.5
  9. Find the area61510.5
  10. Find the area712.5
  11. Find the area208.5
  12. Find the area2012.5
  13. Find the area1912.5
  14. Find the area181911.5
  15. Find the area1412.5
  16. Find the area910.5
  17. Find the area1212.5
  18. Find the area58.5
  19. Find the area8147.5
  20. Find the area310.5

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

Sigma Prep · sigmaprep.io/worksheets

Name

Area of Triangles and QuadrilateralsAnswer keyVersion 1

Date Period

Find each area.

  1. Find the area212.5252
  2. Find the area1312.53252
  3. Find the area118.51872
  4. Find the area91111.5115
  5. Find the area510.51054
  6. Find the area710.51474
  7. Find the area511.51152
  8. Find the area68.551
  9. Find the area61510.54414
  10. Find the area712.51754
  11. Find the area208.585
  12. Find the area2012.5250
  13. Find the area1912.54752
  14. Find the area181911.58514
  15. Find the area1412.51752
  16. Find the area910.51894
  17. Find the area1212.5150
  18. Find the area58.5852
  19. Find the area8147.51652
  20. Find the area310.5634

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

How to do these

Find the area of a trapezoid with bases 6 and 10 and height 4

  1. Average the two bases: 8.
  2. Multiply by the height.

The answer is 32.

Where students go wrong

Using a slanted side as the height. Height always means the perpendicular distance, which on a parallelogram or trapezoid is not the same as the sloping edge.

Also called area formulas, area of a trapezoid or area of a rhombus.

What you can put on this worksheet

Triangles
Find the area 40
Parallelograms
Find the area 80
Rectangles
Find the area 80
Trapezoids
Find the area 50
Rhombuses
Find the area 8

Questions about these worksheets

Yes. Every area of triangles and quadrilaterals 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 triangles and quadrilaterals 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 three 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 5: triangles, parallelograms, rectangles, trapezoids and rhombuses. Tick as many as you want and set how many of each, or let it spread them evenly.

Using a slanted side as the height. Height always means the perpendicular distance, which on a parallelogram or trapezoid is not the same as the sloping edge.