Question
A field is in the shape of a trapezium whose parallel sides are 90m and 30m. These sides meet third side at right angle. The length of the fourth side is 100m.If it costs Rs 4 to ploughing the field. Find the total cost of ploughing the field.
Hint:
Draw the perpendicular from the vertex of 30 m side to 90 m side.
As the 3 rd side is perpendicular to parallel sides ;We get a triangle and parallelogram.
we find the length of height by using pythagoras theorem
Now , find the area of Trapezium = ½ height × (sum of lengths of parallel sides).
We find the total cost of ploughing = cost per sq.m × no.of sq.m the field (area)
The correct answer is: Rs. 19200
Ans :- 19,200 (in Rs)
Explanation :-
Step 1:- Find the area of parallel side by using pythagoras theorem
Draw the perpendicular from the vertex of 30 m side to 90 m side.
As the 3 rd side is perpendicular to parallel sides ;We get a triangle and parallelogram.
we find the length of height by using pythagoras theorem ;
ED = height = 
Step 2: - Find the area of the trapezium field .
Area of trapezium plot = 4,800 m2.
Step 3:- Find the cost of ploughing
Given cost of ploughing = Rs.4 / sq.m
the total cost of ploughing = cost per sq.m × no.of sq.m the field (area)
the total cost of ploughing = (Rs.4 / sq.m ) × 4,800 m2 = Rs 19,200
Therefore , the total cost of ploughing the trapezium shaped field is Rs. 19,200 .
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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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