\[\begin{aligned}
A &= \frac{d_1d_2}{2} \\
P &= 4a
\end{aligned}\]
Variables
Aarea
Pperimeter
d1major diagonal
d2minor diagonal
aside 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