AREA OF TRAPEZIUM
In this page area of trapezium we are going to see the formula to find area of parallelogram also we are going to see example problems to understand this topic.
Definition of trapezium:
The definition of trapezium is entirely different in both US and UK.
- In US a quadrilateral which is having no parallel sides is called trapezium.
- But in UK a quadrilateral which is having one pair of parallel sides is called trapezium.
Definition of trapezoid:
- In UK a quadrilateral which is having no parallel sides is called trapezoid.
- But in US a quadrilateral which is having one pair of parallel sides is called trapezoid.
Formula to find area of trapezoid:
Area = (1/2) (a + b) x h
Now we are going to see some examples to understand this topic.
Example 1:
Find the area of the trapezium ABCD given in the below figure.
Solution:
Area of trapezium = (1/2) (a + b) x h
a = 5 cm , b = 12 cm and h = 4 cm
= (1/2) (5 + 12 ) x 4
= (1/2) x (17) x 4
= 17 x 2
= 34 cm²
Example 2:
In
a trapezium the measurement of one parallel side two more than the
other parallel side and the height is 4 cm. The area of the trapezium is
64 cm². Find the two parallel sides.
Solution:
Area of the trapezium = 64 cm²
Let "a" and "b" are two parallel sides
One parallel side is two more than the other parallel side. So we can assume b as a + 2
Area of a trapezium = (1/2) (a + b) x h
(1/2) (a + b) x h = 64
(1/2) (a + a + 2) x 4 = 64
(1/2) (2a + 2) x 4 = 64
2 (2a + 2) = 64 ==> 2a + 2 = 32
2a = 30 ==> a = 15 cm
b = a + 2 ==> b = 15 + 2 ==> b = 17 cm
Therefore the two parallel sides are 15cm and 17 cm.
More shapes
|
Square  Parallelogram  |
Rectangle  Rhombus  |
|
Traingle  Quadrilateral  Sector 
Hollow cylinder  Sphere  Area around circle  Area of combined figures  |
Trapezium Circle  Semicircle  Quadrant  Cyclinder  Cone  Hemisphere  Path ways  |
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Translating the word problems in to algebraic expressions
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