Have learners work in teams to draw irregular shapes. They must be able to explain how to partition the shape to determine area. But first, have them trade drawings with other teams to see if others can figure out how to partition. Encourage them to have fun and be creative with this exercise!

Have learners draw a regular or irregular figure and label it with measurements. Then have them describe the figure to another learner who must make as accurate a sketch as possible from the description.

Have learners sketch a diagram to help them solve for area of the following problem featured on p. 145 of the GED Connection “Mathematics” workbook:

The Park family is planning to carpet their family room, which measures 18 by 24 feet. They will not need to carpet the fireplace hearth, a 3-ft by 6–ft area centered on one of the 18-ft walls. How many square yards of carpet will they need?

**Step 1.** Sketch a diagram of the family room floor.

**Step 2.** Figure the total area of the room (18 X 24 = 432 sq ft) and subtract the floor area covered by the hearth (3 X 6 = 18 sq ft): 432 sq ft – 18 sq ft = 414 sq ft.

**Step 3.** Convert 414 square feet to square yards (9 sq ft = 1 sq yd).