What is a Trapezoid?

While watching a movie, you must have had popcorn. Have you ever wondered what the shape of the popcorn bucket is? I am asking for a two-dimensional shape, not three dimensional one. Most of you may not be knowing this. It is of trapezoid shape. What is a trapezoid shape? How to find the area of that? Let us learn in detail about the properties of trapezoids.

A trapezoid is a two-dimensional shape with a pair of parallel sides and a pair of nonparallel sides. It belongs to the category of polygons. The pair of parallel sides are called bases of the trapezoid and the remaining nonparallel sides are called legs of the trapezoid. 

Properties of Trapezoid

Listed below are a few properties of a trapezoid: 

  • The top and bottom of the pyramid are parallel.
  • Opposite sides of a trapezoid (isosceles) are of the same length.
  • The angle between two adjacent angles sums up to 180°.
  • The median runs parallel to both bases.
  • Median’s length is the average of both the bases i.e. (a +b)/2.
  • When the two pairs of the opposite sides are parallel in a trapezoid, it is considered a parallelogram.
  • A trapezoid can be considered a square if the two pairs of opposite sides are parallel, all sides are equal in length, and all sides are at right angles to each other.
  • 8. A trapezoid can be compared to a rectangle if the two pairs of its opposite sides are parallel, and its opposite sides have the same length.

Area of a Trapezoid

To calculate the area of a trapezoid, the formula is:

Area of trapezoid = 1/2 (x + y) h

Where x is the length of the smaller base. Y is the length of the longer base and h is the altitude or the perpendicular distance between two bases.

The steps are:

  • You can calculate the area of a trapezoid by taking the average of the two bases.
  • Then this is multiplied by the altitude. 
  • Using this formula, you can calculate the area of a trapezoid.

Perimeter of Trapezoid

Trapezoids have a perimeter equal to their sum of sides. In this case, the perimeter of a trapezoid with sides p, q, r, and s can be written as-

Perimeter of trapezoid = p + q + r + s

Types of Trapezoids

There are three general types of trapezoids:

1. Right Trapezoids

Trapezoids with adjacent right angles are called right trapezoids. Under the trapezoidal rule, it is used to calculate the area under the curve.

2. Isosceles Trapezoids

It is called an isosceles trapezoid if the sides of the trapezoid that are not parallel are equal in length. Isosceles trapezoids have equal angles on their parallel sides (base). The diagonals of an isosceles trapezoid are equal in length and it has a line of symmetry.

3. Scalene Trapezoids

Trapezoids that have neither equal sides nor equal angles are called Scalene trapezoids.

Worked Examples

Let us solve some problems on the area and perimeter of a trapezoid.


Example 1: Find the area of a trapezium having parallel sides of lengths 5 and 10 cm and the distance between them is 4 centimeters?

Solution: We have Area of trapezoid = 1/2 (x + y) h

Given x = 5cm, y = 10 cm and h = 4 cm

By substituting, we have 

Area of trapezoid = 1/2 (5 + 10) 4

Area of trapezoid = 30cm2.


Example 2: The area of a trapezium is 400 square meters. The perpendicular distance between the bases is 16 meters and the length of one of its sides is 20 meters. Find the length of the other side?

Solution: We have Area of trapezoid = 1/2 (x + y) h

Given x = 20m, y = ?, h = 16 m and area = 400 m2.

By substituting, we have 

Area of trapezoid = 1/2 (20 + y) 16 = 400

160 + 6y = 400

6y = 240

y = 40m.

For more solved problems and information log on to the Cuemath website.

Hi, this is Shri Kant, a blogger, an engineer, and an affiliate marketer. I love writing about topics related to WordPress, blogging, marketing, monetization, and so on.

RARBG Torrents Latest Proxy Unblock 2021: Rarbg Proxy List 100% Working

Enjoy watching movies and shows but can not afford to cover hundreds of streaming solutions? Worry not, the best torrent site"RARBG Torrent Latest Proxy...

The Importance of the Network Designers in IoT Operations

What do network designers do? Designers design networks through a series of specially planned and executed steps. The process begins by collecting customer essentials. Customers...

Various concepts of Recommendation systems

Introduction The enormous expansion of accessible digital information and the rise of Online has created a possible difficulty of information explosion, which impedes quick access...


Please enter your comment!
Please enter your name here

Most Popular

10 Best VipBox Alternatives to Watch Sports Online (2022)

If you're a lover of sports and are a regular viewer of all sporting events and matches that you are aware of, then you...

Stream2Watch Alternatives | 10 Sites Like Stream2Watch Proxy/Mirror

Stream2Watch Alternatives: No matter what kind of sport you enjoy, you will find websites that broadcast its live games, such as Stream2watch NFL, NBA,...

18 Best Sites to Download Latest Web Series for free

Web series are becoming so popular all around the world nowadays. Everyone enjoys seeing internet series in their spare time. Web Series...
- Advertisment -