How To Find The Area Of A Trapezoid with Diagonals?

Trapezoid is a kind of quadrilateral which has one pair of side parallel and measure of one pair of angles is equal. In other words a Trapezoid is a quadrilateral which has four sides. Out of four one pair of sides is parallel. This is basic introduction of trapezoid. Now we will see How To Find The Area Of A Trapezoid with diagonals. Formula to find Area of Trapezoid using diagonals is given by:
Area of trapezoid = d₁. d₂ / 2, here ‘d₁’ and ‘d₂’ are diagonals of a trapezoid. Let’s see steps to find area of trapezoid using diagonal.
Step 1: To find area of trapezoid it is necessary to have length of both diagonals.
Step 2: Then put length of diagonals in formula to get value of area.
Let’s understand how to calculate area of trapezoid with help of an example.
Suppose length of both diagonals of trapezoid is 6 inch and 8 inch respectively. Then find the area of trapezoid?
 
 
 
Solution: Given d1 = 6 inch and d2 = 8 inch. Here we need to follow above steps to find the area. Formula to find area of trapezoid is given as:
Area of trapezoid = d₁. d₂ / 2, now put values of d1 and d2 in given formula. On putting values we get:
Area of trapezoid = (6). (8) / 2, on further solving we get:
Area of trapezoid = 48 / 2 = 24 inch2.
This is how we find area of trapezoid using diagonals. We can also find area of trapezoid using height and base.
Area – Area of trapezoid is given as,
 A = 1/ 2 (a + b) h, when length diagonals of diagonals is unknown.