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Help I need the perimeter and Im suck

 

In the diagram, what is the perimeter of polygon $PQRST$?

 

 Aug 7, 2023
 #1
avatar+129690 
+1

QR = PQ   = 1

 

Extend QR to TS   let the  intersection point   be  M

 

This sets up  right triangle  MRS with angle SMR = 90 degrees.....and  hypotenuse RS

 

MS =  4 - PQ = 4 -1 =  3

MR  = 5 - QR = 5 - 1 = 4

 

And using the P Theorem..... RS  =  sqrt ( MS^2 + MR^2)  = sqrt ( 3^2 + 4^2)  = sqrt (25) =  5

 

Perimeter  = 

 

PQ + QR +RS + TS +  TP

 

 1   +   1  +  5 +  4 + 5  = 

 

16

 

cool cool cool

 Aug 7, 2023

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