Formula to calculate trapezoidal area: normal, square, weight

In the article below, TipsMake.com will work with you to learn some content related to the topic of trapezoid area calculation - a basic knowledge you can apply during the period of cultural study and in future algorithm programs.

Trapezoid is a convex quadrilateral with two parallel sides that we meet quite a lot in daily life. The two parallel sides of the trapezoid are called the bottom edges, the other edges are called the sides. If the calculation of the trapezoidal circumference is quite easy to remember, simply adding a total of 4 edges, the formula for calculating the area of ​​the trapezoid is more difficult to remember.

There are 3 common trapezoidal types:

1. Trapezoid usually
2. Square trapezoid
3. Scale trapezoid

Find out more in the following content.

Formula to calculate trapezoidal area

There are trapezoid ABCD with the bottom length AB is a, bottom CD is b and height h.

Formula to calculate trapezoidal area: normal, square, weight Picture 1

The general formula calculates the area of ​​a trapezoid: the average plus two bottom edges multiplied by the height between the two bottoms.

Formula to calculate trapezoidal area: normal, square, weight Picture 2

Inside:

1. S is a trapezoidal area.
2. a and b are the length of the bottom 2 sides.
3. h is the lower height from the bottom edge a to b or vice versa (the distance between the two bottom edges).

Square trapezoid area

The square trapezoid is a trapezoid with a right angle. The perpendicular to the two bottoms is also the height h of the trapezoid.

Formula to calculate trapezoidal area: normal, square, weight Picture 3

The general formula calculates the area of ​​a square trapezoid similar to a normal trapezoid: the average of two bottom edges multiplied by the height between the two troughs , however, the height here is the perpendicular side to both troughs.

Formula to calculate trapezoidal area: normal, square, weight Picture 4

Inside:

1. S is a trapezoidal area.
2. a and b are the length of the bottom 2 sides.
3. h is the side length perpendicular to the 2 bottoms.

Scale trapezoid

The trapezoidal scale is a trapezoid with two adjacent angles at an equal bottom. The two sides of the trapezoid are balanced and not parallel to each other.

Formula to calculate trapezoidal area: normal, square, weight Picture 5

In addition to applying the formula as a normal trapezoid, you can also divide the scale into a scale to calculate the area of ​​each section and then add it together.

Formula to calculate trapezoidal area: normal, square, weight Picture 6

Suppose, the scale trapezoid ABCD has two sides AD and BC equal. The height of AH and BK, trapezoidal will be divided into 1 ABKH rectangle and 2 triangles ADH and BCK. Apply the formula to calculate rectangular area for ABHK and triangle area for ADH and BCK then add all areas to find the area of ​​trapezoid ABCD.

Specifically this:

Formula to calculate trapezoidal area: normal, square, weight Picture 7

Which S _ADH = S _BCK (easy to stop), we get:

Formula to calculate trapezoidal area: normal, square, weight Picture 8

Formula to calculate trapezoidal area: normal, square, weight Picture 9

Above is the article of TipsMake.com about Formula, how to calculate the most standard trapezoidal area. Hope the article will be useful to you!