Rhombus Area and Perimeter
Rhombus Area and Perimeter
\[\begin{aligned}
A &= \frac{d_1d_2}{2} \\
P &= 4a
\end{aligned}\]
Variables
A = area
P = perimeter
d1 = major diagonal
d2 = minor diagonal
a = side length
Description
What is this formula?
This set of formulas calculates the area and perimeter of a rhombus using its diagonals and side length.
When to use it
Use these formulas in geometry, engineering, architecture, and design when analyzing diamond-shaped or rhombus-shaped figures.
Example
For a rhombus with diagonals 10 m and 8 m, and side length 6 m:
Area:
A = (10*8)/2 = 40 m²
Perimeter:
P = 4*6 = 24 m
Applications
- Geometric analysis
- Structural and architectural design
- Decorative and tiling patterns
- CAD and drafting
- Surface calculations
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