What is the perimeter of the Parallelogram field?
I) Area of the field is 72 sq. m.
II) Length and Height are in the ratio of 2:1.
a) The data in statement I alone is sufficient to answer the question.
b) The data in statement II alone is sufficient to answer the question.
c) The data either in statement I alone or statement II alone are sufficient to answer the question.
d) The data given in both I and II together are not sufficient to answer the question.
e) The data in both the statements I and II together are necessary to answer the question.
From statement 1: Area of Parallelogram = Base*height = 72 sq. m
But we don't know the base or the height of the parallelogram. therefore statement 1 is not sufficient alone.
From statement 2: Length and Height are in the ratio of 2:1.
let length = 2a and height = a
Therefore, area of parallelogram = 2a*a = 2a^2
but we cannot determine the perimeter using this. therefore statement 2 is not sufficient alone.
Let see use statements 1 and 2 together,
Area of Parallelogram = Base*height = 72 sq. m = 2a^2
a = 6
Therefore, base = 2a = 12 m, height = 6 m or base = a = 6 m, height = 2a = 12 m
But to find the perimeter we need the two sides, one of the sides is 2a but we don't know the other side or the angle between them. hence we cannot find the perimeter using both the statements together. therefore, option D is the correct answer.
Thank you very much!
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