Answer
$A_A=0.16\times10^{-3}m^2$
$A_B=9.14\times10^{-3}m^2$
Work Step by Step
$F_A+F_B=2900g$
$-F_A(20.0m)-2900g(5.0m)=0$
$F_A=-7105N$
$F_B=35525N$
tensile strength
$A_A=\frac{F_A}{TS}=\frac{9\times7105N}{40\times10^6\frac{N}{m^2}}=0.16\times10^{-3}m^2$
compressive strength
$A_B=\frac{F_B}{CS}=\frac{9\times35525N}{35\times10^6\frac{N}{m^2}}=9.14\times10^{-3}m^2$