SOLUTION: If a postcard 6 inches on the longer side is in the shape of a golden rectangle,what is the length of the shorter side?

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Question 544031: If a postcard 6 inches on the longer side is in the shape of a golden rectangle,what is the length of the shorter side?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+W%2FL++=+L%2F%28W+%2B+L%29+
+W%2F6+=+6%2F%28W+%2B+6%29+
+W%2A%28W%2B6%29+=+6%2A6+
+W%5E2+%2B+6W+=+36+
Complete the square
+W%5E2+%2B+6W+%2B+%286%2F2%29%5E2+=+36+%2B+%286%2F2%29%5E2+
+W%5E2+%2B+6W+%2B+9+=+36+%2B+9+
+%28W+%2B+3%29%5E2+=+45+
Take the square root of both sdes
+W+%2B+3+=+3%2Asqrt%285%29+
+W+=+3%2Asqrt%285%29+-+3+
+W+=+3%2A%28+sqrt%285%29+-+1%29+
+W+=+3%2A%282.236+-+1%29+
+W+=+3%2A1.236+
+W+=+3.708+ in.