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If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2 then the ratio of area of the rectangle and that of the square is

A1 : 1

B1 : 2

C2 : 3

D8 : 9

Answer:

D. 8 : 9

Read Explanation:

Let Side of rectangle are 2x and x units.

and Side of square = y units

4y = 6x

=>\frac{x}{y}=\frac{4}{6}=\frac{2}{3}

=>\frac{2x\times{x}}{y}=\frac{2x^2}{y}=\frac{2\times{4}}{9}

=>8 : 9


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