Rectangle Area 13C203

1. **Problem Statement:** We have a rectangle with a shaded region. The right side length is $\frac{1}{4}$ km and the bottom side length is $\frac{2}{3}$ km. We want to find the area of the shaded region. 2. **Formula:** The area $A$ of a rectangle is given by the formula: $$A = \text{length} \times \text{width}$$ 3. **Apply the formula:** Here, length = $\frac{1}{4}$ km and width = $\frac{2}{3}$ km. $$A = \frac{1}{4} \times \frac{2}{3}$$ 4. **Multiply the fractions:** $$A = \frac{1 \times 2}{4 \times 3} = \frac{2}{12}$$ 5. **Simplify the fraction:** $$A = \frac{\cancel{2}}{\cancel{12}} = \frac{1}{6}$$ 6. **Final answer:** The area of the shaded region is $\frac{1}{6}$ km$^2$. This means the shaded rectangle covers one-sixth of a square kilometer.