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Please help, the topic is similarity 2d shapes :))

Please help, the topic is similarity 2d shapes :))-example-1
User Tanin
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1 Answer

3 votes

Answer:


30 {cm}^(2)

Solution,


(bd)/(cd) = (ae)/(ce)


(6)/(8) = (9)/(8 + de)


48 + 6(de) = 72


6(de) = 72 - 48


6(de) = 24


de = (24)/(4)


de = 4 \:

CE = 8 + 4 = 12

Area of trapezoid ABDE:

Area of AEC - Area of BDC


= (1)/(2) * 9 * 12 - (1)/(2) * 6 * 8


= 54 - 24


= 30 \: {cm}^(2)

Hope this helps...

Good luck on your assignment...

User Tyler Bell
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