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Math workbooks for eighth-grade students
6. Because AD and BC are parallel.

So ∠D=∠DCE

Because m is the midpoint of CD.

So DM=MC

Because ∠DMA=∠CME.

So △ADM is congruent△ △CME(ASA)

So the area of trapezoidal ABCD = the area of δ = δ Abe.

It should be ∠ AFB = 90 degrees, ∠ ABF = 45 degrees.

So BAF = 45.

So BF=AF

So the area of △ABE =(4+7)×4÷2=22.

That is, the area of trapezoid ABCD =22.

7. let EG be X.

(0.8+0.8+2x)×2x÷2= 1.3

X 1=0.5, x2 =- 1.3 (irrelevant, omitted)

0.5×2+0.2= 1.2m

A: .......