Question
A field is in the shape of a trapezium whose parallel sides are 25m and 10m. The non parallel sides are 14m and 13m, find the area.
Hint:
Draw a parallel line and Divide the 25 m side into two parts .
We get a triangle and parallelogram . we find the the area of that triangle by heron's
formula and we find the area of triangle by using ½ b × h formula and equate the and
find the value of h(height of triangle or distance between two parallel lines)
Now , find the area of Trapezium = ½ height × (sum of lengths of parallel sides).
The correct answer is: 196 m2
Ans :- 196 (in sq. meters)
Explanation :-
Given lengths of non parallel sides are 14 and 13 m.
Lengths of parallel sides are 10 and 25 m.
Step 1:- Find the area of Δ BCD from heron's formula and ½ b × h method
Step 2:- Equate the areas and find value of height h
Step 3:-Find the area of trapezium
The area of Trapezium = ½ (56/5) *(10+25)
Therefore, we get the area of trapezium as 196 (m2).
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Note:
Instead of adding 1 on both sides, we can also understand the concept by taking _1 of the left hand side on the right hand side and then the sign changes to +1 . Similarly, instead of dividing by 2, we can understand it by saying that we take 2 from the left hand side to the right hand side, and here it becomes division.
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