Maths-
General
Easy
Question
The area of trapezium is 384 sq.cm. If its parallel sides are in the ratio 3:5 and the perpendicular distance between them 12cm. The smaller of the parallel side is
Hint:
let the length of parallel sides be x and y (x<y).Given ratio of x:y = 3:5
Substitute the equation in the formula area of trapezium = ½ × (height)
(sum of lengths of parallel side) and equate to find x
The correct answer is: 24cm
Ans :- 24 cm
Explanation :-
Step 1:- Find the equation between x and y and find the sum of lengths of parallel sides in terms of y.
let the length of parallel sides be x and y (x<y).
Given ratio of x:y = 3:5 
Sum of lengths of parallel sides = 
Step 2:-substitute the values in the area formula find x
Given area of trapezium = 384 sq.cm
Altitude (or) height = 12 cm
area of trapezium = ½ × (height)(sum of lengths of parallel side)
We get x = 24 cm as x is the smaller side of parallel sides(x<y)
Therefore, the length of smaller parallel sides is 24 cm .
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