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What is the perimeter, in cm, of quadrilateral ABCD if *(imagine line over)AB is perpendicular to BC*, DC is perpendicular to BC,  AB = 9 cm, DC = 4 cm, and BC = 12 cm?

 Feb 14, 2020
edited by notsmart2.0  Feb 14, 2020
 #1
avatar+107011 
+2

See the following : 

 

 

Let A = (0, 0)

B= (9, 0)

C = (9, 12)

D = (5, 12)

 

We already know  AB , BC and DC

 

So  we just  need to find the distance between A  and D

 

Using the distance formula we have

 

AD = sqrt  [ ( 5 - 0)^2  + (12 - 0)^2 ] =  sqrt [ 25 + 144]   =sqrt (169)   = 13

 

 

So  the perimeter =   9  + 12  + 4 + 13   =   38 units 

 

 

 

cool cool cool

 
 Feb 14, 2020
 #2
avatar+115 
+1

THANK YOU

 
notsmart2.0  Feb 14, 2020
 #3
avatar+107011 
0

OK.....glad to help    !!!

 

cool cool cool

 
CPhill  Feb 14, 2020

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