Question

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

• A. 1 : 1
• B. 1 : 2
• C. 2 : 3
• D. 8 : 9

Answer 1

Answer:

D. 8 : 9

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