SOLUTION: The side of a square is 3 cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square, if it’s known that the area of the squa

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Question 1058018: The side of a square is 3 cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square, if it’s known that the area of the square is 30 cm2 less than the area of the rectangle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the side of the square
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The sides of the rectangle are:
+s+%2B+3+ and +s+-+2+
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The area of the rectangle is:
+%28+s+%2B+3+%29%2A%28+s+-+2+%29+
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given:
+s%5E2+=+%28+s+%2B+3+%29%2A%28+s+-+2+%29+-+30+
+s%5E2+=+s%5E2+%2B+3s+-+2s+-+6+-+30+
+s%5E2+=+s%5E2+%2B+s+-+36+
+s+=+36+
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The side of the square is 36 cm
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check:
+%28+s+%2B+3+%29%2A%28+s++-+2+%29+=+%28+36+%2B+3+%29%2A%28+36+-+2+%29+
+%28+s+%2B+3+%29%2A%28+s++-+2+%29+=+39%2A34+
+36%5E2+=+39%2A34+-+30+
+1296+=+1326+-+30+
+1296+=+1296+
OK