解(1):c=[(a+2b)+(2a-b)]×2
=(a+2b+2a-b)×2
=(3a+b)×2
=6a+2b
c=6a+2b
s=(a+2b)(2a-b)
=2a²+3ab-2b²
s=2a²+3ab-2b²
(2):把c=86,a=11.6代入c=6a+2b得:
6×11.6+2b=86
69.6+2b=86
2b=86-69.6
2b=16.4
b=8.2
再把a=11.6,b=8.2代入s=2a²+3ab-2b²得:
s=2×11.6²+3×11.6×8.2-2×8.2²
=269.12+285.36-134.48
=420