SOLUTION: I need some help with checking the statements below. The quadrilateral below consists of 3 composite shapes. Image: https://imgur.com/vqEdnvH Check all that apply. Tr

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Question 1107693: I need some help with checking the statements below.
The quadrilateral below consists of 3 composite shapes.
Image: https://imgur.com/vqEdnvH
Check all that apply.
True or false
 The value of x is 5.
 The value of y is 4 sqrt 3.
 The value of z is 12.
 The measure of CF is 4.
 The measure of CB is 4 sqrt 2.
 The length of AB is 19.6.
 The perimeter of ABCD is 36.6.
 The area of AED is 13.9.
 The area of CFB is 16.
 The area of ABCD is 45.9.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Value of x = sin(30) = x/8; x = sin(30)*8 = 4
Value of y = 4 sqrt3
Value of z (if z is just the top line) = 6
Measure of CF = 4
Measure of CB (hypotenuse) = sin(45) = 4/h; h = 4/sin(45); h = 5.66
AB = 6.93 + 6 + 4 = 16.93
ABCD = 28.59
Area AED = (6.93*4)/2 = 13.9
Area CFB = 8
Area ABCD = 13.9 + 24 + 8 = 45.9