Trapezoid (Area & Perimeter) Calculator

getcalc.com's trapezoid calculator is an online basic geometry tool to calculate area & perimeter of trapezoidal plane or shape, in both US customary & metric (SI) units.

Steps to Find Area & Perimeter of a Trapezoid

The step by step workout for how to find what is the area and perimeter of a trapezoid.Workout :
step 1 Address the formula input parameter and values
Base 1 = 10 in
Base 2 = 5 in
Side 1 = 10 in
Side 2 = 8 in

step 2 Apply base values and side values in below Area formula
Height h = √s1² - (b₂ - b₁)²
= √10² - (5 - 10)² in
= √10² - (-5)² in
= √100 - (25) in
= √75 in
Height h = 8.6603 in

step 3 Substitute height value in Trapezoid Area formula
Area A = h (b₁ + b₂)2
= 8.6603 (10 + 5)2in²
= 8.6603 x 152in²
= 129.90452in²
Area = 64.9519 in²

step 4 Apply base values and side values in perimeter formula
Perimeter P = b₁ + b₂ + s₁ + s₁
= 10 + 5 + 10 + 8 in
Perimeter P = 33 in

Trapezoid & Formulas

Trapezoid is a two dimensional plane or geometric shape represents quadrilateral with either no sides parallel to each other or with only two sides are parallel to each other in SI & US customary units measurements. The parallel sides and other two sides are called the base and lateral sides respectively. K-12 students may refer the below formulas to know what are all the parameters are being used to find the area & perimeter of trapezoid.

Problems on Finding the Area & Perimeter of Trapezoid

Below are the practice problems for grade school students, on finding what is the area and perimeter of a trapezoid. By click on the corresponding problem shows the step-by-step calculation or work with steps for how to find such values of trapezoid mathematically. For any other similar values, use this trapezoid calculator to verify the results.