math

Area and Perimeter

Area measures the surface inside a shape (in square units); perimeter measures the distance around it.

Area is the amount of space inside a 2D shape. Perimeter is the total length of the shape's boundary.

Common Formulas

ShapeAreaPerimeter
Rectanglelength Γ— width2(length + width)
TriangleΒ½ Γ— base Γ— heighta + b + c
CircleΟ€ Γ— rΒ²2Ο€r
TrapezoidΒ½(a + b) Γ— ha + b + c + d

Real-World Uses

Area is used for flooring, painting walls, and lot sizes. Perimeter is used for fencing, trim, and borders.

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