Question
The sides of a parallelogram are 3cm and 2cm and the distance between two longer sides is 1.5cm. Find the distance between the shorter sides?
Hint:
we know all the side lengths of parallelogram and distance between two longer
sides is 1.5 cm .we find the area of trapezium by taking the longer 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 shorter side as base and equate it to
get the distance between shorter sides.
The correct answer is: 2.25cm
Ans :- 2.25 cm.
Explanation :-
Given the sides are 3 cm and 2 cm sides where 3 cm sides are longer sides.
Step 1:- find the area of trapezium by taking the longer side as base
Base = 3 cm; Height = 1.5 cm
Area of parallelogram = base × height = 3 × 1.5 = 4.5 cm2 .
Step 2:- find the area of trapezium by taking the shorter side as base
Base = 2 cm; let Height = h cm
Area of parallelogram = base × height = 2 × h = 2h cm2 .
Step 3:- equate both areas above
We get , 2h = 4.5
h = 4.5/2 = 2.25 cm.
Therefore, Distance between shorter sides is 2.25 cm
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