Task# Designs

Illustrative MathematicsVaries

The purpose of this task is for students to find the area and perimeter of figures composed of squares and fractions of circles. The first three figures only require addition of areas, while the last three require students to subtract the area of one region from another. Also, the red and green figures have more complex boundaries because they have 'holes' in addition to the 'outside' edges. The way to think about the perimeter of these kinds of figures is as the length of the boundary, where the boundary is the part of the figure that touches a colored region on one side and a white region on the other.