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Free worksheets for calculating area of triangles, quadrilaterals, and polygons

With this worksheet generator, you can make free worksheets for calculating the area of triangles, parallelograms, other quadrilaterals, and polygons (pentagons/hexagons) in the coordinate grid. The worksheets can be made in PDF or html formats. The problems give the coordinates of the vertices of the shapes and ask to calculate the area. This is one of the focus areas of 6th grade geometry, according to the Common Core Standards.

One common technique to calculate the area of a polygon in a coordinate plane is to enclose the polygon in a rectangle, and then subtract rectangular and triangular areas until you only have the polygon in question left.

You can control the number of problems, workspace, border around the problems, coordinate plane (either first quadrant or all quadrants), grid image size, maximum for the coordinates, and additional instructions.

Here are some quick links for ready worksheets. Refresh the worksheet page to get another of the same kind.


Area of triangles, parallelograms, quadrilaterals,
and polygons worksheet generator

Choose at least one of the shapes below.
right triangle
generic triangle
parallelogram
trapezoid
generic quadrilateral
pentagon
hexagon

Coordinate grid
only first quadrant
all four quadrants

Grid image size on page
150 pixels
200 pixels
250 pixels (you can fit two problems in a row)
300 pixels
350 pixels
400 pixels (you can fit two problems in a row in landscape)
600 pixels (you can fit one problem on the page)

Maximum for x and y coordinate
10 (gridlines are at every 1 unit)
20 (gridlines are at every 2 units)
50 (gridlines are at every 5 units)
100 (gridlines are at every 10 units)
Columns:   Rows:
(These determine the number of problems)

empty lines below the problem (workspace)
Bordercolor:

Page orientation: Portrait   Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font:   Font Size:

Cell Padding:     Border:  
Additional title & instructions  (HTML allowed)


     



Key to Geometry workbook series

Key to Geometry Workbooks

Here is a non-intimidating way to prepare students for formal geometry. Key to Geometry workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps-and are prompted to form their own generalizations. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs.

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