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The design shown contains kite ABCD. Which statement is true?

A.The area of ABCD is 300 u2004-05-02-04-00_files/i0380001.jpg.

B.The area of DBGH is 300 u2004-05-02-04-00_files/i0380004.jpg.

C.The area of DBFC is 900 u2004-05-02-04-00_files/i0380002.jpg.

D.The area of CEBF is 1,200 u2004-05-02-04-00_files/i0380003.jpg.

The design shown contains kite ABCD. Which statement is true? A.The area of ABCD is 300 u2004-05-02-04-00 files/i0380001.jpg. B.The area of DBGH is 300 u2004-05 class=

Verified Answer :

nobillionaireNobley

Area of ABCD = 10 30 + 10 10 = 300 + 100 = 400
Area of DBGH = 20 30 = 600
Area of DBFC = 1/2(30 30) + (10 30) + 1/2(10 30) = 450 + 300 + 150 = 900
Area of CEBF = 1/2(30 30) + (10 30) = 450 + 300 = 750

THerefore, option C isthe correct answer.

Answer:

Step-by-step explanation:

Alright, lets get started.

Area of ABCD :

Area of ABCD =area of ABD + area of BCD

Area of ABCD = \((\frac{1}{2}*20*10) +(\frac{1}{2}*20*30)\)

Area of ABCD =  400

Area of DBGH  :

Area of DBGH = \(20*30 = 600\)

Area of DBFC :

Area of DBFC = area of DBC + area of BCF

Area of DBFC = \((\frac{1}{2}*20*30)+(\frac{1}{2}*30*40) = 300+600\)

Area of DBFC = 900

Area of CEBF :

Area of CEBF = area of CEBG + area of BGF

Area of CEBF = \(300+(\frac{1}{2}*30*30) = 300+450\)

Area of CEBF = 750

hence option C is correct : area of DBFC = 900    :   Answer

Hope it will help :)

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