The circumference of a square s and a rectangle r are equal. If the length-width ratio of a rectangle is 2:3, what is the ratio of the area of the rectangle to the area of the square?

Answer: If the length and width of a rectangle are 2k and 3k respectively, the side length of a square is (2k+3k) × 2 ÷ 4 = 2.5k..

So the area ratio of the two is: 2k× 3k/(2.5k) 2 = 6/(25/4) = 24: 25.

Answer b is correct.

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