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The length of a rectangle is 3 more than twice the width. If the area is 20 square feet, what is the width of the rectangle?

 

a) .4 feet

 

b) 8 feet

 

c) 2.5 feet

 

d) 4 feet.

 Nov 21, 2020
 #1
avatar+1443 
+2

CPhill!!!! I haven't seen you in such a long time! I just noticed you were answering my question. Thank you!

 Nov 21, 2020
edited by SmartMathMan  Nov 21, 2020
 #2
avatar+129899 
+1

Thanks, SMM....good to see you....I took a sabbatical  (LOL!!!)

 

This one  isn't too bad

 

Let   L = 2W + 3

 

So   we have

 

L * W   = 20

 

(2W + 3) (W)  = 20    simplify

 

2W^2  + 3W  = 20

 

2W^2  +  3W  - 20   =   0       factor  as

 

(2W  - 5) ( W + 4)  =  0

 

Only the first factor  helps us

 

Set to 0 and solve for  W

 

2W - 5  = 0

2W = 5

W  = 5/2  = 2.5 ft

 

 

cool cool cool

 Nov 21, 2020
 #3
avatar+1443 
+2

You deserved it!

SmartMathMan  Nov 21, 2020

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