Area of triangles and quadrilaterals worksheets

Past the rectangle, area means knowing which measurement is the height. These free printable worksheets cover triangles, parallelograms, and trapezoids, with the perpendicular height drawn as a dashed line.

Area of triangles and quadrilaterals
Area of triangles and quadrilaterals worksheet — Bases to 30 cm, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

The one mistake this standard is about is using a slant side as the height, so the figures never label a slant side at all. The height is dashed and carries a right-angle mark where it meets the base, which is a picture that answers "which number is h?" honestly rather than leaving it to be guessed.

Why this sheet works

A parallelogram uses exactly the arithmetic its rectangle would, which is the whole reason it is taught this way — and exactly why a child who measures the slant edge gets a number that is too big. Mixing the four figures on one sheet is the hardest setting, because deciding which formula applies comes before applying it.

How this one works

Area of a 4 by 19 rectangle

4 cm 19
  1. Both numbers you need are sides — no hunting for a height inside the shape, because the side IS the height here.
  2. So it is one times the other: 4 × 19 = 76 square cm. Nothing halves, nothing averages.