Mathematics

Problem

Let

\mathbf{c}=2\mathbf{a}+3\mathbf{b}

. If the area of the triangle having

\mathbf{a}

and

\mathbf{c}

as two of its sides is

10

square units, then the area of the parallelogram constructed on

\mathbf{a}

and

\mathbf{b}

as adjacent sides is a)

20

\dfrac{20}{3}

\dfrac{10}{3}

\dfrac{40}{3}