Task# Wallpaper Decomposition

Illustrative MathematicsVaries

The purpose of this task is for students to experiment with composition and decomposition of polygons to examine shapes in a real world context. To find the area of the wall, students will decompose a pentagon into simpler shapes (for example, a rectangle and a triangle). In parts (b) and (c), students need to think about how they can cut rectangular strips of wallpaper in order to fit them on the wall. This involves decomposing and then (re)composing polygons.