the height of a parallelogram is two third of its base and the area of parallelogram is 864cm square. find its height and base
Answers
Answered by
48
Given:
The height of a parallelogram is two-third of its base
The area of the parallelogram is 864 cm sq.
To find:
The base and height of the parallelogram
Now,
The formula to find the area of the parallelogram is
Also,
According to the question,
The height of the parallelogram is two-third of its base,
Let the base be x cm
So, the height of the parallelogram will be 2/3 of x = 2x/3 cm
Now,
Putting the given values,
Area = base * height
⇒ 864 = x * 2x/3
⇒ 864 = 2x²/3
⇒ 864 × 3 = 2x²
⇒ 2592 = 2x²
⇒ 2592 ÷ 2 = x²
⇒ 1296 = x²
⇒ 36 = x
Thus,
The length of the base is x cm = 36 cm
And the length of the height is 2x/3 = (2*36)/3 = 72/3 = 24 cm
Answered by
30
Given :-
Height = 2/3 of its base
Area = 864 cm²
To Find :-
Height and base
Solution :-
Let
Height = 2x/3
Base = x
Height = 2/3 × 36 = 2 × 12 = 24 cm
Base = 36 cm
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