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The perimeter P of the rectangle equals 162. Find the value of x.

 

2x - 3
3x + 4

 

x​ =

ladiikeiii  Nov 29, 2017
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3+0 Answers

 #1
avatar+505 
+2

x = 16 (assuming the 2 expressions given are the length and width)

helperid1839321  Nov 29, 2017
 #2
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+2

Perimeter = 2[ L + W], where L=Length, W=Width.

 

Perimeter =2[(3x + 4) + (2x - 3)] =162

162 =2[3x + 2x + 4 - 3] 

162 =2[5x + 1] 

162 =10x + 2  subtract 2 from both sides

160 =10x         divide both sides by 10

x = 160/10

x =16

Guest Nov 29, 2017
 #3
avatar+79846 
+2

Let's see how helperid found this

 

P  =  2  [ W + L ]       so we have

 

162   =  2 [ (2x - 3)  + (3x + 4 )]       simplify within the brackets

 

162  = 2  [ 5x + 1]     divide both sides by 2

 

81  =  5x  +   1        subtract  1 from both sides

 

80  = 5x         divide both sides by 5

 

16  = x

 

Just as helperid found....!!!!!

 

 

cool cool cool

CPhill  Nov 29, 2017
edited by CPhill  Nov 29, 2017

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