Part A: Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she needs. You can see from the diagram of the living room that this is not a simple shape. Complete the steps below to find the area of the room, which is the amount of carpet Valerie needs for her project. Part A

Help Valerie decompose the shape into the fewest simple shapes. Which shapes can

you divide the figure into? How many of each shape do you get?

Part B: In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?