Question 2445
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
{{{A = 4x^2 + 110x + 750}}}

So, {{{4x^2 + 110x + 750}}} = 924
{{{4x^2 + 110x - 174 = 0}}}
{{{2x^2 + 55x - 87 = 0}}}

x = {{{(-55 +- sqrt(55^2 - 4(2)(-87)))/(2*2)}}}
x = {{{(-55 +- sqrt(3025 + 696))/(4)}}}


x = {{{(-55 +- sqrt(3721))/(4)}}}


x = {{{(-55 +- 61)/(4)}}}

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.