Understanding the Rhombus
A rhombus is a type of polygon that is a quadrilateral (four sides) with all sides having equal length. The area of a rhombus can be calculated using the lengths of its diagonals.
Formula for Area
The area (A) of a rhombus can be calculated using the formula:
A = (d1 * d2) / 2
where:
- d1 = length of the first diagonal
- d2 = length of the second diagonal
Converting Measurements
Before calculating, convert all measurements to a consistent unit. Here we have:
- First diagonal (d1) = 8 cm 8 mm = 8.8 cm
- Second diagonal (d2) = 6 cm 6 mm = 6.6 cm
Calculating Area
Now, plug the values into the area formula:
- Step 1: Identify diagonals
- d1 = 8.8 cm
- d2 = 6.6 cm
- Step 2: Apply the formula
- A = (8.8 cm * 6.6 cm) / 2
- Step 3: Perform multiplication
- A = (58.08 cm²) / 2
- Step 4: Final calculation
- A = 29.04 cm²
Conclusion
The area of the rhombus with diagonals measuring 8 cm 8 mm and 6 cm 6 mm is approximately 29.04 cm². This method ensures a straightforward calculation while maintaining accuracy in measurement conversions.