Chapter 2.2, Problem 19P

NanHe made a design that used hexagons, rhombuses, and triangles like the ones shown in Figure 2.32. NanHe counted how many of each shape she used in her design and determined that $\frac{4}{11}$ of the shapes she used were hexagons, $\frac{5}{11}$ were rhombuses, and $\frac{2}{11}$ were triangles. You may combine your answers to parts (a) and (b).

a. Even though $\frac{4}{11}$ of the shapes NanHe used were hexagons, does this mean that the hexagons in NanHe’s design take up $\frac{4}{11}$ of the area of her design? If not, what fraction of the area of NanHe’s design do the hexagons take up?

b. Write a short paragraph describing how the notion of “equal parts” relates to your answer in part (a) of this problem.

  

  Figure 2.32 Pattern blocks.