smithlenwood6412 smithlenwood6412
  • 27-04-2018
  • Mathematics
contestada

You are making a poster that will have a uniform border, as shown. the total area of the poster is 722 square inches. find the width of the border to the nearest inch

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carlosego
carlosego carlosego
  • 08-05-2018
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 PLEASE SEE ATTACHED IMAGE.
 For this case the area is given by:
 A = (22 + x) * (28 + x) = 722
 Rewriting we have:
 616 + 22x + 28x + x ^ 2 = 722
 x ^ 2 + 50x + 616 - 722 = 0
 x ^ 2 + 50x - 106 = 0
 Solving the polynomial we have:
 x1 = 2.04
 x2 = -52.04
 We take the positive root:
 x = 2.04 inches:
 Answer:
 
The width of the border to the nearest inch is:
 
x = 2inches
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