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Perimeter of Trapezoid Calculator

Enter Base 1, Base 2, and Height (assumes isosceles trapezoid) to calculate the perimeter.

Perimeter of Trapezoid Calculator

Do you need a quick and reliable way to calculate the perimeter of a trapezoid when you know the two parallel sides (bases) and the height? Our Perimeter of Trapezoid Calculator is designed to give you accurate results instantly. Whether you’re working on math problems, architectural projects, fencing layouts, or landscaping designs, this tool makes trapezoid perimeter calculations effortless and error-free.

📏 Understanding the Trapezoid

What is a Trapezoid?
A trapezoid (or trapezium in some countries) is a four-sided polygon with at least one pair of parallel sides. These parallel sides are called bases, while the other two sides are called legs.
When the trapezoid is isosceles, the two non-parallel sides (legs) are equal in length. This property allows us to calculate the perimeter using only:
• The two bases (Base1 and Base2)
• The height (perpendicular distance between the bases)

Perimeter of a Trapezoid with 2 Bases and Height:
To find the perimeter in this case, we need to calculate the length of the equal non-parallel sides using the Pythagoras theorem.
👉 Formula: P = a + b + 2 × √((a−b)/2)² + h²
Where:
P = Perimeter
a = Length of the longer base
b = Length of the shorter base
h = Height of the trapezoid
This formula works because the trapezoid can be divided into a rectangle and two right-angled triangles.

⚖️ Formula to Calculate the Perimeter of a Trapezoid (using 2 bases and height)

  1. Subtract the smaller base from the larger base: a−b
  2. Divide the result by 2 to get the horizontal part of each right triangle: (a−b)/2
  3. Apply the Pythagoras theorem to find the length of each non-parallel side: Leg = √((a−b)/2)² + h²
  4. Finally, calculate the perimeter: P = a + b + 2 × Leg

📚 Examples of Trapezoid Perimeter Calculation

Example 1: Base1 = 12 cm, Base2 = 8 cm, Height = 5 cm

Leg = √((12−8)/2)² + 5² = √(2² + 25) = √29 ≈ 5.39
P = 12 + 8 + 2 × 5.39 = 30.77 cm

✅ The perimeter is approximately 30.77 cm.

Example 2: Base1 = 20 m, Base2 = 14 m, Height = 9 m

Leg = √((20−14)/2)² + 9² = √(3² + 81) = √90 ≈ 9.49
P = 20 + 14 + 2 × 9.49 = 52.97 m

✅ The perimeter is approximately 52.97 meters.

Example 3: Base1 = 15 in, Base2 = 9 in, Height = 6 in

Leg = √((15−9)/2)² + 6² = √(3² + 36) = √45 ≈ 6.71
P = 15 + 9 + 2 × 6.71 = 37.42 in

✅ The perimeter is approximately 37.42 inches.

Example 4: Base1 = 10 ft, Base2 = 6 ft, Height = 4 ft

Leg = √((10−6)/2)² + 4² = √(2² + 16) = √20 ≈ 4.47
P = 10 + 6 + 2 × 4.47 = 24.94 ft

✅ The perimeter is approximately 24.94 feet.

✨ Features of Our Perimeter of Trapezoid Calculator

✅ Instant and accurate results using bases + height formula
✅ Works with any measurement units (cm, m, ft, inches, etc.)
✅ 100% free to use, no sign-up required
✅ Simple, clean, and user-friendly design
✅ Compatible with mobile, tablet, and desktop devices
✅ Perfect for students, teachers, and professionals

👩‍💼 Who Should Use This Calculator?

Students & Teachers – Solve trapezoid perimeter problems quickly
Architects & Engineers – Use in designs involving trapezoidal structures
Construction Professionals – Calculate fencing, flooring, or plot perimeters
Interior Designers – Plan trapezoid counters, walls, or layouts
Surveyors & Landscapers – Measure trapezoid-shaped gardens or pavements
Artists & Crafters – Create accurate trapezoid-based artwork and models

🌍 Practical Applications

Architecture & Construction – Roofs, walls, and trapezoidal plots.
Urban Planning – Trapezoid roads, bridges, and pathways.
Education – Helping students understand trapezoid geometry with real-life examples.
Landscaping – Designing trapezoid gardens, fountains, and pavements.
Crafts & Design – Creating models, decorative patterns, and geometric crafts.

✅ The Perimeter of Trapezoid Calculator using 2 sides and height formula is an essential tool for anyone dealing with trapezoids in math, architecture, landscaping, or design. It provides instant accuracy and helps avoid tedious manual calculations.

👉 Try our Perimeter of Trapezoid Calculator today and make your trapezoid perimeter calculations faster, easier, and completely hassle-free!