Question

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.

Answer 1

Explanation:

Alright, lets get started.

Area of ABCD :

Area of ABCD =area of ABD + area of BCD

Area of ABCD =
`((1)/(2)*20*10) +((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 =
`((1)/(2)*20*30)+((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+((1)/(2)*30*30) = 300+450`

Area of CEBF = 750

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

Hope it will help :)

Answer 2

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.