Respectively 80982

The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively.

Determine the area of square ABCD.

Correct answer:

S =  84.5 cm2

Step-by-step explanation:

DE=6 cm EF=4 cm FG=4 cm GH=1 cm HB=2 cm  x=DE+FG+HB=6+4+2=12 cm y=EF+GH=4+1=5 cm  u=x2+y2=122+52=13 cm  u = 2  a  a=u/2=13/29.1924 cm  S=a2=9.19242=84.5 cm2

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