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Trapezoid Area Calculator

Calculate trapezoid area and perimeter from bases and height, with SVG visualization

台形の寸法を入力

※ 斜辺を入力すると周の長さも計算します

About Trapezoid Area Calculator

A trapezoid is a quadrilateral with one pair of parallel sides. Its area is calculated using the formula '(top + bottom) × height ÷ 2.' The top base is the shorter parallel side, the bottom base is the longer parallel side, and the height is the perpendicular distance between them.

This tool automatically calculates the area from just three inputs. Additionally, entering the slant side lengths computes the perimeter. An SVG shape visualization feature draws the trapezoid proportionally based on your inputs.

The reverse calculation feature allows you to compute the required height from the area and both bases. This is ideal for architectural and engineering design scenarios where you need to determine "what height is needed to achieve this area size?" The tool is useful for math education, construction and engineering calculations, and area estimation.

Physically impossible trapezoids (such as those with slant sides that are too short) are automatically detected and a warning is displayed.

How to use Trapezoid Area Calculator

  1. 【Calculate Mode】Enter top base (a), bottom base (b), and height (h) for instant area display
  2. Optionally enter slant sides to also calculate perimeter
  3. 【Reverse Mode】Enter area, top base, and bottom base to calculate required height
  4. View the formula and visual trapezoid diagram for learning or practical use

Benefits of Trapezoid Area Calculator

  • Instant area calculation from bases and height
  • Reverse calculation: find required height from area
  • SVG visualization to see the trapezoid shape
  • Optional perimeter calculation with slant sides
  • Automatic detection and warning for physically impossible trapezoids
  • Step-by-step formula display for educational clarity
  • Immediately applicable for construction, engineering, and design work
  • Browser-only processing ensures privacy

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