# 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 - (b_{2} - b_{1})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 (b_{1} + b_{2})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 = b_{1} + b_{2} + s_{1} + s_{1}

= 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

- Find what is the area and circumference of trapezoid whose length of base one is 6 inches, base two is 5 inches, side 1 is 7 inches, side 2 is 9 inches and height is 8 inches?
- What is the area and perimeter of trapezoid, if it has side 1 = 12 inches, side 2 = 16 inches, base 1 = 11 inches and , base 2 = 15 inches?