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The length of rectangle R is 10% more than the side of square S. The width of the rectangle is 10% less than the side of the square. The ratio of the areas, R : S is

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101 : 100

199 : 200

99 : 100

1 : 1

answer is A.

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Detailed Solution

Square :S =100
Length of rectangle(l) =10%more
l =110
Breadth is 10% less than side of square
b = 90
A= l x b =110x90
square( A) = S x S = 100 x100
$R : S = \frac{110 \times 90}{100 \times 100} = 99 : 100$

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