Touchstone Standards

Georgia Grade 6 math, Geometric & Spatial Reasoning

6.GSR.5.1 worksheets: area of triangles, parallelograms, trapezoids, and composite figures

The standard

Explore area as a measurable attribute of triangles, quadrilaterals, and other polygons conceptually by composing or decomposing into rectangles, triangles, and other shapes. Find the area of these geometric figures to solve problems.

Element 6.GSR.5.1 of Georgia's K-12 Mathematics Standards (2021, effective SY2023-24), in the Geometric & Spatial Reasoning strand. It sits under standard 6.GSR.5: Solve relevant problems involving area, surface area, and volume.

What students practice

Every practice page in Area of Polygons. Students find triangles as half a rectangle, count base and height on a grid, cut and slide parallelograms into rectangles, break trapezoids and composite figures into rectangles and triangles, or fill a figure out to a rectangle and take pieces away. Figures are drawn to scale.

Where to find it

  • p. 3Right Triangles: Half a Rectangle. Find the area of the rectangle around each right triangle, then the triangle.
  • p. 4Any Triangle on a Grid. Count the base and the height of each triangle, then find its area.
  • p. 5Triangles With Labels. Find the area of each triangle, then answer the last question.
  • p. 6Parallelograms: Cut and Slide. Count the base and the height of each parallelogram, then find its area.
  • p. 7Parallelograms With Labels. Find the area of each parallelogram, then answer the last question.
  • p. 8Trapezoids: Break Into Pieces. Find the area of each piece, then add to find the area of the trapezoid.
  • p. 9Composite Figures: Break Apart. Find the area of each piece, then add to find the area of the whole figure.
  • p. 10Fill It, Then Take Away. Find the area of the rectangle, take away the missing piece, and write the area.
  • p. 11Polygons on a Grid. Break each polygon into pieces you know, then find its area.
  • p. 12Area in the Real World. Use the picture and the story to solve each problem.
  • p. 13Area Code. Find each area, then write its letter from the code bank to spell a word.
  • p. 14Mixed Review. Solve each problem, then check your work.