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The perimeter of the rectangle below is 114 units. Find the length of side PQ.

 

 Aug 4, 2020
 #1
avatar+36915 
+1

Perimeter is the sum of the two sides given  * 2

(2x-1  +  3x+3) * 2 = 114     

                    solve for 'x'   then   PQ = 3x+3

 Aug 4, 2020
 #2
avatar+1485 
+1

SP + PQ = 114/2      solve for x laugh

 Aug 4, 2020
 #3
avatar+1262 
+2

We know that the perimeter is equal to 2x-1+2x-1+3x+3+3x+3=144 which can be simplfied to 4x-2+6x+6=114 and then 10x+4=114 we then subtract 4 to get 110 and divide by 10 to get x=11 so PQ=11*3+3=33+3=36 and we have that PQ=36 or \(\boxed{PQ=36}\)

 Aug 4, 2020

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