Anaya wants to cut a small rectangular piece of paper out of a big rectangular chart paper such that the length and breadth of piece of paper are exactly 1/3rd of that of chart paper. What is the ratio of areas of big chart paper to that of small piece of paper?
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1 : 9
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3 : 1
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9 : 1
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1 : 3
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19 : 1
C
Correct answer
Explanation
Length of big chart paper = L
Breadth of big chart paper = B
Area of big chart paper = L x B = LB sq. c m
Length of small piece of paper = L/3
Breadth of of small piece of paper = B/3
Area of small piece of paper = L/3 x B/3 = LB/9 sq. cm
Ratio = Area of big chart paper / Area of small piece of paper
= LB/(LB/9) = 9 : 1