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.
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 :
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.
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
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 m2
Area around circle
Area of combined figures
You can also visit our following web pages on different stuff in math.
APTITUDE TESTS ONLINE
Aptitude test online
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
Nature of the roots of a quadratic equation worksheets
MATH FOR KIDS
Time and work word problems
Pythagorean theorem word problems
Converting repeating decimals in to fractions
L.C.M method to solve time and work problems