Area of trapezium :
Here we are going to see the formula to find area of trapezium and 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.
Definition of 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) ⋅ 4
= (1/2) ⋅ (17) ⋅ 4
= 17 ⋅ 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) ⋅ h = 64
(1/2) (a + a + 2) ⋅ 4 = 64
(1/2) (2a + 2) ⋅ 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 15 cm and 17 cm.
Example 3 :
The shape of the top surface of a table is a trapezium. Find its area parallel if its parallel sides are 1 m and 1.2 m and perpendicular distance between 0.8 m
Solution :
Area of a trapezium = (1/2) (a + b) ⋅ h
= (1/2) (1.2 + 1) ⋅ 0.8
= (1/2) (2.2) ⋅ 0.8
= 1.1 (0.8)
= 8.8 m^{2}
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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