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Each side of a rhombus is 18 cm. If the ...

Each side of a rhombus is 18 cm. If the distance between two parallel sides is 12 cm, find its area.

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To find the area of the rhombus, we can use the formula for the area of a parallelogram, which is given by: \[ \text{Area} = \text{Base} \times \text{Height} \] In this case, the rhombus can be treated as a special type of parallelogram where all sides are equal. ### Step-by-Step Solution: 1. **Identify the Base and Height:** - The length of each side of the rhombus is given as 18 cm. This will be our base. - The distance between the two parallel sides (the height) is given as 12 cm. 2. **Use the Area Formula:** - Substitute the values into the area formula: \[ \text{Area} = \text{Base} \times \text{Height} = 18 \, \text{cm} \times 12 \, \text{cm} \] 3. **Calculate the Area:** - Perform the multiplication: \[ \text{Area} = 18 \times 12 = 216 \, \text{cm}^2 \] 4. **Conclusion:** - The area of the rhombus is \( 216 \, \text{cm}^2 \).
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