Subjects geometry

Parallelogram Area 24660B

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1. **State the problem:** Abigail wants to cover a large parallelogram tapestry of base 24 inches and height 36 inches using smaller similar parallelograms each with base 2 inches and height 3 inches. 2. **Formula for area of a parallelogram:** $$\text{Area} = \text{base} \times \text{height}$$ 3. **Calculate the area of the large parallelogram:** $$24 \times 36 = 864$$ square inches 4. **Calculate the area of one small parallelogram:** $$2 \times 3 = 6$$ square inches 5. **Find how many small parallelograms fit into the large one by dividing the areas:** $$\frac{864}{6} = 144$$ 6. **Interpretation:** Abigail will need 144 small parallelograms to make the large tapestry. --- **Additional question about the parallelogram with base 9 cm, height 4 cm, and slant side 5 cm:** 1. Calculate the area: $$9 \times 4 = 36$$ square centimeters **Final answers:** - Number of small parallelograms needed: 144 - Area of the parallelogram with base 9 cm and height 4 cm: 36 cm²