The ratio of area of a parallelogram to perimeter of the parallelogram is 1:2. Length of base of this parallelogram is 4 units and length of adjacent side to the base is 3 units. Find the height of the parallelogram.
A
34 unit
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B
57 unit
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C
47 unit
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D
74 units
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Solution
The correct option is D74 units Let's draw a parallelogram ABCD of base 4 units.
Lets assume height to be h
Given,
Base of parallelogram =4 units
As we know,
Area of the parallelogram = Base × Height =4×h
Given,
AC = BD = 3 units
AB = CD = 4 units
Perimeter of parallelogram = AB + BD + DC + CA =4+3+4+3=14 units
Given, Area of parallelogramPerimeter of parallelogram=12