Calculate rectangle area, perimeter, diagonal, and aspect ratio from length and width with complete mathematical steps.
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A rectangle is a four-sided quadrilateral with four right angles (90°). Opposite sides are parallel and equal in length, and both diagonals are equal in length and bisect each other.
A = l \times w, \quad P = 2(l + w), \quad d = \sqrt{l^2 + w^2}Area is the product of length and width. Perimeter is twice the sum of length and width. Diagonal is found via the Pythagorean theorem.
Scenario: Calculate a rectangle with length l = 10 m and width w = 6 m
Area: A = 10 × 6 = 60 m²
Perimeter: P = 2 × (10 + 6) = 2 × 16 = 32 m
Diagonal: d = √(10² + 6²) = √(100 + 36) = √136 ≈ 11.6619 m
Aspect Ratio: 10:6 reduces to 5:3
Apply the Pythagorean theorem: d = √(length² + width²).
Yes, a square is an equiangular quadrilateral with four 90° angles, making it a special equilateral rectangle.
Aspect ratio is the proportional relationship between width and height, expressed as two integers separated by a colon (e.g. 16:9, 4:3).
Add length and width together, then multiply by 2: P = 2(l + w).
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