SOLUTION: If the sides of a square are decreased by 4.5 cm the area is decreased by 50cm^2. What were the dimensions of the orginial square? Round the answer to the first decimal place.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If the sides of a square are decreased by 4.5 cm the area is decreased by 50cm^2. What were the dimensions of the orginial square? Round the answer to the first decimal place.      Log On

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Question 618240: If the sides of a square are decreased by 4.5 cm the area is decreased by 50cm^2. What were the dimensions of the orginial square? Round the answer to the first decimal place.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = a side of the original square
Let A = the original area of the square
given:
+A+=+s%5E2+
+A+-+50+=+%28+s+-+4.5+%29%5E2+
---------------------
By substitution:
+s%5E2+-+50+=+s%5E2+-+9s+%2B+20.25+
+9s+=+50+%2B+20.25+
+s+=+70.25%2F9+
+s+=+7.8056+
The original square is 7.8056 x 7.8056 cm2
check:
+A+-+50+=+%28+s+-+4.5+%29%5E2+
+60.927+-+50+=+%28+7.8056+-+4.5+%29%5E2%0D%0A%7B%7B%7B+10.927+=+3.3056%5E2+
+10.927+=+10.927+
OK