1. **State the problem:** We have a rectangle with length 15 m and width 2 1/3 m. We need to find: a) An estimate for the area. b) The accurate area. 2. **Recall the formula for the area of a rectangle:** $$\text{Area} = \text{length} \times \text{width}$$ 3. **Convert the mixed number width to an improper fraction:** $$2 \frac{1}{3} = \frac{7}{3}$$ 4. **Part a: Estimate the area** We round the width to the nearest whole number: 2 1/3 is approximately 2. So, estimated area: $$15 \times 2 = 30$$ 5. **Part b: Calculate the accurate area** Multiply length by exact width: $$15 \times \frac{7}{3}$$ Simplify by canceling common factors: $$15 \times \frac{7}{3} = \cancel{15} \times \frac{7}{\cancel{3}} = 5 \times 7 = 35$$ 6. **Final answers:** a) Estimated area = 30 m\textsuperscript{2} b) Accurate area = 35 m\textsuperscript{2}