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The side of a square is 3cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square if its known that the area of the square is 30cm2 less than the area of the rectangle

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Step-by-step explanation:

s = side of square

l = length of rectangle = s + 3 cm

w = width of rectangle = s - 2 cm

s² + 30 = (s + 3)(s - 2) = s² + - 2s + 3s - 6 = s² + s - 6

30 = s - 6

s = 36 cm

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