Question 395421
known:  Area=L*W  Perimeter =2*(L+W)
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given :  A=2P+19 or A=4*(L+W)+19  and L=2+W 
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set both expression of area equal to each other
L*W=4L+4W+19
(2+W)*W=4*(2+W)+4W+19   substitute L=2+W
2W+W^2=8+8W+19
W^2-6W-27=0
(W-9)(W+3)=0
so W=9 or W=-3 measurements must be positive so eliminatte W=-3
solution, W=9
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L=2+W=2+9+11
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validate the answer by substituting back into Area equations
A=L*W=11*9=99
A=4*(11+9)+19=80+19=99  check