If the perimeter of square region W and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of W	Options.
A) 25:16  B) 24:25  C) 5:6  D) 4:5  E) 4:9
We know Perimeter of a square (Pw) = 4*side   Perimeter of a rectangle (Pr) = 2(length+breath)   Let us assume 40 to be the perimeter of the square (since we know each side of a square is equal and the perimeter is divisible by 4, also take in to account the length and breadth of the rectangle is in the ration 2k:3k = 5k; we can assume such a number)   Therefore,   Pw = Pr = 40   Area of the square = 100 sq. units   We know 2(length+breadth) = 40   i.e. length + breadth = 20 (or 5k = 20 given that l:b (or b:l) = 2:3)   Therefore length = 8, breath = 12   Area of the rectangle = 8*12= 
<gadget id="calculator">8*12</gadget>
<output>96</output>
96 sq. units   Question asked= Area of the rectangle : Area of the square = 96:100 ==&gt; 24:25=24:25
<result>B</result>
If the perimeter of square region W and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of W