100 Points! Please help with this geometry question! Give an explanation, it could be short or statement reasonings! Thanks!

Step-by-step explanation:

Refer to attached

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The triangle DCF can be divided into DEC and DEF as per picture and the area of them is:

Area of ΔDEF

Area of ΔDEC

Since D and E are midpoints of AB and BC:

So the area of ΔDCF is:

Since the area of ABC is A = 1/2bh we have:

Solving for A:

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.