Subjects geometry

Dark Wood Area F1202B

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1. **State the problem:** We need to find the combined area of the dark pieces of wood on a cutting board. 2. **Given data:** - Total length of the board: $39$ inches - Total height of the board: $29$ inches - Number of dark stripes: $6$ - Height of each dark stripe: $3\frac{1}{4} = 3.25$ inches 3. **Formula for area of a rectangle:** $$\text{Area} = \text{length} \times \text{height}$$ 4. **Calculate the area of one dark stripe:** $$\text{Area}_{\text{one dark stripe}} = 39 \times 3.25 = 126.75$$ square inches 5. **Calculate the combined area of all dark stripes:** $$\text{Total dark area} = 6 \times 126.75 = 760.5$$ square inches 6. **Check if the total height of dark stripes fits in the board:** $$6 \times 3.25 = 19.5 \text{ inches}$$ which is less than $29$ inches, so the calculation is consistent. 7. **Answer:** The combined area of the dark pieces of wood is $760.5$ square inches. **Note:** The provided answer choices do not include $760.5$, so please verify the problem data or if the dark stripes overlap or have gaps. --- **Slug:** dark-wood-area **Subject:** geometry