Question
If the area of a parallelogram is 300m2 and the base of the parallelogram is thrice its height, find the base and height of a parallelogram.
Hint:
given the area of parallelogram is given ; condition between base and height is
given .now, substitute them in the formula area of parallelogram = base × height to
find the base and height of parallelogram.
The correct answer is: height = 10 m , base = 30 m.
Ans :- height = 10 m , base = 30 m.
Explanation :-
Given , area of parallelogram = 300 sq.m
Let the height of parallelogram be x
Then by the condition we get base of parallelogram = 3x
Area of parallelogram = base × height = 3x × x = 3 x2 = 300 m2.
We get, x2 = 100 m2 x= 10 m
3x = 3 × 10 = 30 m
Therefore , the height of parallelogram = 10 m and base of parallelogram = 30 m.
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