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P is hte midpoint of BD, AP = BP = 4, AP perp BD, BD perp DC, AB perp BC.  In simplest form, what is the area of pentagon ABCDP?

 

 

\(\phantom{perimeter of pentagon ABCDP}\)

 Jul 4, 2022
 #1
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Area of APB  = (1/2) 4^2 =   8

 

BD = 2*BP  = 2*4  =  8

 

And snce angle  DBC = 45°, then  BD  = Dc

 

So

 

Area of BDC =   (1/2)(8^2)  = 32

 

Area of ABCDP  = 

 

8  +  32   =

 

40

 

 

cool cool cool

 Jul 4, 2022

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