Find the area of a pentagon ABCDE in which AC=8cm BF=3cm AD=15cm CG=7cm HE=5cm

Dear student
Area of ABC=12×AC×BF=12×8×3=12cm2Area of ACD=12×AD×CG=12×15×7=52.5cm2Area of DEA=12×AD×HE=12×15×5=37.5cm2So, Area of ABCDE=Area of ABC+Area of ACD+Area of ADE=12+52.5+37.5=102cm2
Regards

  • 7
area(ABC) = 8 X 3 = 24 UNIT SQ            -1
area(ACD) = 15 X 7 = 105 UNIT SQ,       -2
area(ADE) = 5 X 15 = 75 UNIT SQ.            -3
 AREA of pentagon = (1)+(2)+(2)
                      = 24+105+75
                     = 204 Unit Square
  • 1
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