. Grade 6, Illustrative icon
Task

Finding Areas of Polygons

Illustrative MathematicsVaries

This task asks students to find the area of polygons that are best suited for increasingly abstract methods: Part (a) of this task asks students to find the area of a polygon that can be found by simply counting the whole number of square units, although there is an advantage to subdividing it into rectangles. The area of the figure in part (b) can be found by subdividing it into two right triangles and recombining them into a rectangle. The area of the figure in part (c) can be found by subdividing it and recombining the pieces into rectangles, but there is some advantage to seeing the area as what is left over after subtracting the area of some simple triangles from an enclosing rectangle. Part (d) is most easily found by enclosing the triangle in a rectangle and subtracting the areas of three right triangles.

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