+0  
 
0
83
2
avatar

A rectangle stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The width of the border is equal and was made out of 7 square feet of clear glass. What is the width of the border.

 Jan 13, 2020
 #1
avatar+22108 
+3

2 x 4 window with 7 ft^2 border

 

border   is   2 sides x 4 tall x w  on the long sides  

  and on the top/bottom  will be  2 sides x (2 ft + 2w) * w

     added together = 7    (w will be in feet)

 

2 x 4 x w + 2 x (2 + 2w)w = 7

8w  + 2 (2w+2w^2) =7

8w + 4w + 4w^2 = 7

4w^2 + 12w - 7 = 0     Use Quadratic FOrmula to find w = .5    or (-3.5) <-----throw out

w = .5 ft   = 6 inches  width of border

 Jan 13, 2020
 #2
avatar+22108 
+2

.....a little clarification ( I did this in my mind....but you may not think like me!  At least I hope you don't ! cheeky )

 

At

 Jan 13, 2020
edited by ElectricPavlov  Jan 13, 2020

29 Online Users

avatar