Maths-
General
Easy
Question
If the distance between the shorter sides of a parallelogram is 16 m, the sides of a parallelogram are 24m and 18m. Find the distance between its longer side
Hint:
we know all the side lengths of parallelogram and distance between two
shorter sides is 16 m .we find the area of trapezium by taking the shorter side as base.
find the area of Trapezium = ½ height × (sum of lengths of parallel sides).
Now, we find the area of trapezium by taking the longer side as base and equate it to
get the distance between longer sides.
The correct answer is: Distance between longer side is 12 m
Ans :- 12 m.
Explanation :-
Given the sides are 24 m and 18 m sides where 18 m sides are shorter sides.
Step 1:- find the area of trapezium by taking the shorter side as base
Base = 18 m; Height = 16 m(given)
Area of parallelogram = base × height = 18 × 16 = 288 m2 .
Step 2:- find the area of trapezium by taking the longer side as base
Base = 24 m; let Height = h m
Area of parallelogram = base × height = 24 × h = 24h cm2 .
Step 3:- equate both areas above
We get , 24h = 288 ; h = 288/24
h = 12 m .
Therefore, Distance between longer sides is 12 m
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