Question
In the figure, ABCD is a trapezium with . Find the area of trapezium if
Hint:
Draw a line parallel to AD from vertex B which cuts DC at E.
Now find the area of BCE by ½ b × h method by using base as BC and base as EC .
Now equate the areas and find the value of h .
Now , find the area of Trapezium = ½ height × (sum of lengths of parallel sides).
The correct answer is: 72 cm2
Ans :- 72 cm2.
Explanation :-
Step 1:- Find the area of
As ABED forms a parallelogram,
AB = DE = 10 cm ; AD = BE = 8 cm (opposite sides of parallelogram are equal)
Diagram :-
<img 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
Related Questions to study
In △ ABC and △ DEF , ∠A ≅ ∠D, ∠B ≅ ∠E , then ∠C ≅ ?
In △ ABC and △ DEF , ∠A ≅ ∠D, ∠B ≅ ∠E , then ∠C ≅ ?
The table above shows two pairs of values for the linear function f. The function can be written in the form , where a and b are constants. What is the value of a + b ?
Note:
We can take a different approach to solving the linear equations. The above method is called method of elimination. We may also use the method of substitution; which is finding the values one variable, say a , in terms of b , from the first equation and replacing this value in the second equation to get a linear equation in one variable , b . Then solve it to find b, and use it in the previous equation to find a.
The table above shows two pairs of values for the linear function f. The function can be written in the form , where a and b are constants. What is the value of a + b ?
Note:
We can take a different approach to solving the linear equations. The above method is called method of elimination. We may also use the method of substitution; which is finding the values one variable, say a , in terms of b , from the first equation and replacing this value in the second equation to get a linear equation in one variable , b . Then solve it to find b, and use it in the previous equation to find a.
Find the value of x.
Find the value of x.
The lengths of two adjacent sides of a parallelogram are respectively 51cm and 37cm. If one of its diagonal is 20cm then find the area of the parallelogram.
The lengths of two adjacent sides of a parallelogram are respectively 51cm and 37cm. If one of its diagonal is 20cm then find the area of the parallelogram.
Find the area of the shaded region. Here ABC is an equilateral triangle of side 14cm and BDC is a semicircle.
Find the area of the shaded region. Here ABC is an equilateral triangle of side 14cm and BDC is a semicircle.
If △ BCD = △ OPQ, △ OPQ ≅ △ TUV , then what is the relation between △ BCD and △
TUV ?
If △ BCD = △ OPQ, △ OPQ ≅ △ TUV , then what is the relation between △ BCD and △
TUV ?
In the complex number system, what is the value of ? (Note:
Note:
It is advised to memorize the values of powers of i , that is ,
We can observe that for all natural number . Also, even powers of is always a real number n, either 1 or - 1
In the complex number system, what is the value of ? (Note:
Note:
It is advised to memorize the values of powers of i , that is ,
We can observe that for all natural number . Also, even powers of is always a real number n, either 1 or - 1