Area of trapezium :
Here 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.
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 ) x 4
= (1/2) x (17) x 4
= 17 x 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) 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.
After having gone through the stuff given above, we hope that the students would have understood "Area of trapezium"
Apart from the stuff given above, if you want to know more about "Area of trapezium", please click here.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
Area around circle
Area of combined figures
APTITUDE TESTS ONLINE
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
MATH FOR KIDS
HCF and LCM word problems
Word problems on quadratic equations
Word problems on comparing rates
Ratio and proportion word problems
Converting repeating decimals in to fractions