Calculate perimeter, area, and diagonal from side length. Explore scaling effects to understand how changes in size affect different properties. Perfect for tiles, frames, and design work.
Calculate perimeter, area, diagonal, and scaling effects
Each square on a chess board has equal sides
Side: 4cm → Perimeter: 16cm, Area: 16cm²
Square tiles for seamless floor coverage
30cm × 30cm tile → Area: 900cm² per tile
Square picture frames with equal sides
20cm side → Need 80cm of frame material
Calculate all square properties from just the side length
P = 4a, A = a², d = a√2Find side length from known perimeter or area
a = P÷4, a = √AExplore how perimeter and area change with size scaling
P scales by n, A scales by n²When a square's side length is scaled by factor n, the perimeter scales by n, but the area scales by n². This explains why larger squares have disproportionately more area.
A 2×2 square becomes 6×6 when scaled by 3. The perimeter goes from 8 to 24 (3× increase), but the area goes from 4 to 36 (9× increase).
Side length, perimeter, and diagonal scale linearly
Area scales with the square of the scale factor
Why larger squares are more efficient for coverage