SOLUTION: The area of a rectangle is 5 + square root 3. If the length of one side is 2 + square root 3, what is the length of the other side?

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Question 985366: The area of a rectangle is 5 + square root 3. If the length of one side is 2 + square root 3, what is the length of the other side?
Found 2 solutions by rfer, vleith:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
6.732/3.732=1.8

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is
Area+=+Width%2ALength
You are told
%285+%2B+sqrt%283%29%29+=+Width+%2A+%282+%2B+sqrt%283%29%29
%285%2Bsqrt%283%29%29%2F%282%2Bsqrt%283%29%29+=+Width
Now rationalize the denominator


%28%2810+-5sqrt%283%29+%2B+2sqrt%283%29+-3+%29+%2F+%284+-+3%29%29+=+Width
%287+-3sqrt%283%29%29+=+Width
Verify your answer by multiplying +%287+-3sqrt%283%29%29 and +2+%2B+sqrt%283%29%29