# Mysterious area

The trapezoid ABCD is given. Calculate its area if the area of the DBC triangle is 27 cm2.

Result

S = cm2 (Correct answer is: ?)

#### Solution:

$S_{ 1 } = 27 \ cm^2 \ \\ S_{ 1 } = a \cdot \ h/2 \ \\ \ \\ S = \dfrac{ a+c }{ 2 } \cdot \ h \ \\ c = ? \ \\ S = S_{ 1 }+S_{ 2 } \ \\ S = ?$

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