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Question

# 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 D 74 unitsLet'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 4×h14=12 h=1×142×4=74 units Option (d) is correct.

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