Given that sinθ+cosθ=12\sin\theta+\cos\theta=\frac12sinθ+cosθ=21, find the value of sinθcosθ\sin\theta\cos\thetasinθcosθ. A38\frac3883B−18-\frac18−81C−38-\frac38−83D14\frac1441E−34-\frac34−43