SOLUTION: A poster has dimensions that are 25 cm by 30 cm is surrounded by a border of uniform width. If the area of the border is 174 cm^2, find the outside perimeter of the border.

Question 2445: A poster has dimensions that are 25 cm by 30 cm is surrounded by a border of uniform width. If the area of the border is 174 cm^2, find the outside perimeter of the border.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
draw it.
Let x = width of the border.
total area, A = area of border + area of poster
So, A = 174 + 750
A = 924
Algebraically, A = (total length)(total width)
total length = 30 + 2x
total width = 25 + 2x
so A = (30+2x)(25+2x)
A = 750 + 60x + 50x + 4x^2

So, = 924

x =
x =

x =

x =
so x=6/4 or x=-116/2
so x=1.5, -58
So, physically, the answer is x=1.5, so total length = 33 and total width = 28
To answer the question, the perimeter = 33+28+33+28 = 122cm
jon.
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