SOLUTION: The length of rectangular garden exceeds three times the width by 12 meters. The area of the garden is 180m^2 find the dimension of the garden

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Question 1038558: The length of rectangular garden exceeds three times the width by 12 meters. The area of the garden is 180m^2 find the dimension of the garden
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = width of garden in meters
+3w+%2B+12+ = length in meters
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+w%2A%28+3w+%2B+12+%29+=+180+
+3w%5E2+%2B+12w+=+180+
+w%5E2+%2B+4w+-+60+=+0+
+%28+w+%2B+10+%29%2A%28+w+-+6+%29+=+0+ ( by inspection )
+w+=+-10+ ( can't use -width must be positive )
+w+=+6+
and
+3w+%2B+12+=+3%2A6+%2B+12+
+3w+%2B+12+=+30+
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The dimensions are: 6 m by 30 m
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check:
+6%2A30+=+180+ m2
OK