let the base be b and height be h

b+h=12............................i

area =1/2bh=16

bh=16 x 2

=32

b=32/h

32/h +h=12

32h +h^2=12h

h^2-12h+32=0

h^2-8h-4h+32=0

h(h-8)-4(h-8)=0

(h-4)(h-8)=0

h=4 or h=8

when h=8 ,b=4

when h=4 b=8

dimension are 8 by 4

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