SOLUTION: the length of a rectangle is 3 times it width. If the width is diminished by 1 meter and the length is increased by 3 meters, the area of the rectangle that is formed is 72 squared

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Question 282655: the length of a rectangle is 3 times it width. If the width is diminished by 1 meter and the length is increased by 3 meters, the area of the rectangle that is formed is 72 squared meters
Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
Width = W
Length = 3W
-----------------------
+%283W%2B3%29%28W-1%29+=+72+
Expand to:
+3W%5E2+%2B+3W+-+3W+-+3+=+72+
Simplify and add 3 to each side:
+3W%5E2+-+3+%2B+3+=+72+%2B+3+
+3W%5E2+=+75+
Divide each side by 3:
+%283W%5E2%29%2F3+=+75%2F3+
Take the square root of each side:
+W%5E2+=+25+
+W+=+5+ & bobs your uncle!