Variance of the portfolio variable question

From Kaplan:

Sigma A = 55% & Sigma B = 85%

Regarding the third portion of the equation 2(w)(w)(sigma)(sigma)rho, why did the explanation not multiply the two sigmas?

If they did not give you the correlation coefficient (r), then you can’t calculate the covariance. Was the covariance of 0.09 a given?

Yes, the question did give the covariance = 0.09

cov\left(x,y\right) = \sigma_x\sigma_y\rho_{x,y}