SOLUTION: the area of a rectangle is 51 square meters. the length is 2 meters longer than the width. what is the length and width of the rectangle?

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Question 950190: the area of a rectangle is 51 square meters. the length is 2 meters longer than the width. what is the length and width of the rectangle?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=L%2AW
L%2AW=51
.
.
.
L=2%2BW
Substituting,
%282%2BW%29W=51
W%5E2%2B2W=51
W%5E2%2B2W%2B1=51%2B1
%28W%2B1%29%5E2=52
W%2B1=0+%2B-+sqrt%2852%29
W=-1+%2B-+2sqrt%2813%29
Only use the positive result,
W=-1%2B2sqrt%2813%29
So then,
L=2-1+%2B+2sqrt%2813%29
L=1+%2B+2sqrt%2813%29