If the length of a rectangle is reduced by 9cm and the width is increased by 6cm, it becomes a square, and the areas of the two figures are equal. Find the length and width of the original rectangle

Let the length of the original rectangle be x and the width be y
x-9=y+6,x-y=15,x=y+15①
x*y=(y+6)*2②
Substituting ① into ②, y = 12, x = 27
The original rectangle is 27 cm long and 12 cm wide
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