Rectangle Area, Perimeter and Diagonal
Rectangle Area, Perimeter and Diagonal
\[\begin{aligned}
A &= w*h \\
P &= 2*(w+h) \\
d &= \sqrt{w^2+h^2}
\end{aligned}\]
Variables
A = area
P = perimeter
d = diagonal
w = width
h = height
Description
What is this formula?
This set of formulas calculates the area, perimeter, and diagonal length of a rectangle using its width and height.
When to use it
Use these formulas in geometry, construction, architecture, engineering, manufacturing, and graphical design whenever rectangular dimensions are involved.
Example
For a rectangle with width 5 m and height 3 m:
Area:
A = 5*3 = 15 m²
Perimeter:
P = 2*(5+3) = 16 m
Diagonal:
d = √(5²+3²) ≈ 5.83 m
Applications
- Floor and land area calculations
- Screen and display dimensions
- Construction layouts
- CAD and technical drawing
- Packaging and material estimation
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