<PRE><B>Question 235487</B>
Area = 35sq ft and Perimeter = 27 ft. Solve for Length in the Perimeter.
-----------
Area = LW
Perimeter = 2(L+W)
------------------------
Substitute and solve:
35 = LW
27 = 2(L+W)
----------------
L = 35/W
------
Substitute into the Perimeter equation and solve for W:
13.5 = (35/W)+ W
Multiply thru by W and solve:
W^2 -13.5W + 35 = 0
W = [13.5 +- sqrt(13.5^2-4*1*35)]/2
W = [13.5 +- sqrt(42.25)]/2
Positive solution:
W = 20/2 = 10 ft. (the width of the rectangle)
L+W = 13.5 so L = 3.5 ft. (length of the rectangle)
=========================================================
Cheers,
Stan H.</PRE>