the base of the parallelogram is thrice its height ,if the area is 192cm find the base and height
Answers
Answered by
114
Let the height of the parallelogram be x
Then, the base will 3x
Now, area of parallelogram is 192cm
It means that base *height =192cm
Therefore, x *3x=192cm
3x^2=192
X^2=64
X=8cm
It means that
Height is 8cm
And base is of 8*3=24cm
Then, the base will 3x
Now, area of parallelogram is 192cm
It means that base *height =192cm
Therefore, x *3x=192cm
3x^2=192
X^2=64
X=8cm
It means that
Height is 8cm
And base is of 8*3=24cm
Answered by
19
Given:
- The area of the parallelogram = 192
- The base of the parallelogram = thrice its height.
To Find:
- The base and the height of the parallelogram.
Solution:
- Let x be the height of the parallelogram.
- From the given data we can get to know that, base of the parallelogram = 3x.
- We knew that the area of the parallelogram is given by,
- area = height*base
- Substitute the given values in the above formula.
- 192 = x*3x
- 192 = 3
- = 192/3 = 64
- x = √64
- x = 8
- Substitute the value of x in the height and base obtained.
- Height = x = 8 cm
- Base = 3x = 3*8 = 24 cm
∴ The height of the parallelogram is 8 cm and the base of the parallelogram is 24 cm.
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