What is the area of the triangle?

S = S(ABCD) - S(BCE) - S(AED) = 7*6 - 2*6/2 - 5*6/2 = 42 - 6 - 15 = 21

Step-by-step explanation:

If we look at the picture, we can notice that the area we are interested in is S(ABCD) - S(BCE) - S(AED). Y-axis is parallel to AB line since the coordinates of the A and B points have the same X-axis value.

The following calculations happend for figuring out the width for each line:

The formulas for each figure area:

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step-by-step explanation:

use that smart brain