Question 996664
L
W
units in inches
LW=84
2L+2W=38
L+W=19
L=19-W
19W-W^2=84;;;W^2-19W+84=0
(W-12)((W-7)=0
W=7, 12
The longest is length.
The rectangle is 7 inches  x 12 inches
Area is 84 sq in.