find the area of tapezium ABCDas given in the figure in which ADCE is a rectangle.
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sreejan66:
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ABCD is a parallogram.the diagnoal AC and BD interest each other at 'O'. prove that ar(AOD)triangle =ar(BOC).(hint:- congruent figures have equal area)
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✨Answer:
36 cm^2 = area of trapezium
✨Step-by-step explanation:
Area of trapezium = ar of triangle BEC + area of rectangle ADCE.
➡️ FINDING AREA OF TRIANGLE :
CE = AD = 8cm (since ADCE is rect.)
BE = 3cm
base = 3 cm
Height = 8 cm (since <E = 90 °)
Area = 1/2 Base ☓ height
Area of triangle = 1/2 ☓ 3 ☓ 8 cm^2
✔️ Area of triangle = 12 cm^2.
➡️ FINDING AREA OF RECTANGLE ADCE :
➡️AD = Length = 8 cm
➡️AE = Breadth = 3 cm.
Area of rectangle = length ☓ Breadth
Area of rectangle ADCE = 8 ☓ 3cm^2
✔️ Area of rectangle ADCE = 24 cm^2
➡️Area of trapezium = area of triangle + area of rectangle
Area of trapezium = 12 cm^2 + 24 cm^2
✔️ Area of trapezium = 36 cm^2
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