1. **State the problem:** Calculate the area of the L-shaped figure with given side lengths in yards. 2. **Convert mixed numbers to improper fractions:** - $3 \frac{2}{3} = \frac{11}{3}$ yards - $3 \frac{1}{8} = \frac{25}{8}$ yards - $6 \frac{6}{8} = 6 \frac{3}{4} = \frac{27}{4}$ yards - $3 \frac{5}{8} = \frac{29}{8}$ yards - $7 \frac{1}{3} = \frac{22}{3}$ yards 3. **Break the L-shape into two rectangles:** - Rectangle 1: width $= \frac{11}{3}$ yards, height $= \frac{25}{8}$ yards - Rectangle 2: width $= \frac{22}{3} - \frac{11}{3} = \frac{11}{3}$ yards, height $= \frac{27}{4} - \frac{25}{8} = \frac{29}{8}$ yards 4. **Calculate areas of each rectangle:** - Area 1: $$\frac{11}{3} \times \frac{25}{8} = \frac{275}{24}$$ - Area 2: $$\frac{11}{3} \times \frac{29}{8} = \frac{319}{24}$$ 5. **Add the areas:** $$\frac{275}{24} + \frac{319}{24} = \frac{594}{24}$$ 6. **Simplify the fraction:** $$\frac{594}{24} = \frac{\cancel{6}99}{\cancel{6}4} = \frac{99}{4} = 24 \frac{3}{4}$$ 7. **Final answer:** The area of the figure is $24 \frac{3}{4}$ square yards.