A 4 – sided figure which has one pair of parallel sides is called a trapezoid. Mostly the bases are parallel.
Steps to find the area of Trapezoid
- Add the bases.
- Add the result from step 1 and the height of the trapezoid.
- Divide the result in step 3 by 2.
- You’ll get the area of Trapezoid.
The area of a trapezoid formula
Area =h x (b1+ b2)/2 ·
b1, b2 are the lengths of each base
h is the altitude (height)
To find the height and base of the trapezoid that is used in the area of a trapezoid formula, we need to use the following formulas.
Height (altitude) = 2a/(b1 + b 2)
Where a = area and b1, b2 are the 2 bases.
Base length = (2a/h) – b
Where a = area and b = base, and h is the height (altitude).
Area = mh
Where m = median and h = height (altitude).
Area of Trapezium Formula Examples
Find the area of the trapezoid if the two bases are 6 cm and 7 cm respectively. Also, the height is given as 8 cm.
Solution: Area = 8 x (6+ 7)/2
= 8 x (13)/2
= 8 x 6.5
= 52 cm2
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