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 What is the area of this figure?

 Jun 11, 2022
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known:           EF =   km

AB = 4 km     FG = 3 km

BC = 4 km     GH = 4 km

CD = 3 km     HI = 4 km

ED = 4 km     BI = 3 km

HB = CG = (3 + 4)km = 7 km

Area l = Area △ ABI

Area I = 1/2 * AB * BI

           = 1/2 * 4 * 3

           = 6 km^2

Area II = Area ▭ BC GH

            = BC * CG

            = 4 * 7 = 28 km^2

Area III = Area ▭ CDEF

             = CD * DE

             = 3 * 4 + 12 km^2

Area 1 = 6 km^2

Area 2 = 28 km^2

Area 3 = 12 km^2

Total = 46 km^2

 Jun 11, 2022

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