Irregular hexagon

There is an irregular hexagon whose sides are the same length. The opposite sides are parallel; their distance is 237, 195, and 193. What is its area?

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Math student

There is an irregular hexagon whose sides are the same length.
If a1=a2=a3=a4=a5=a6 it is regular hexagon.
There is an irregular hexagon whose opposite sides are the same length....
Then is a=87,18... b=135,68... c=137,99... d=360,84...
Area of hexagons is:
S=Sd-Sa-Sb-Sc =36875,1 (Sd; Sa; Sb; Sc is area of equilateral triangels).

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You need to know the following knowledge to solve this word math problem:

arithmetic

square root

planimetry

polygon
area of a shape
triangle
rhombus
rhomboid
Heron's formula

Grade of the word problem

practice for 14 year olds
high school

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