Question 883838
Border Plus Picture equals 198 square centimeters.


Border?   Unknown.


Picture:  {{{10*17}}} square centimeters.


Border plus Picture:  Let x = the uniform width of border.
{{{(10+2x)(17+2x)=198}}}.


Solving for x will allow finding the outside dimensions and the inside dimensions for the frame.


{{{170+34x+20x+4x^2=198}}}
{{{34x+20x+4x^2=28}}}
{{{54x+4x^2=28}}}
{{{2x^2+27x=14}}}
{{{2x^2+27x-14=0}}}


{{{x=(-27+- sqrt(27^2-4*2*(-14)))/(2*2)}}}
{{{x=(-27+- sqrt(841))/(2*2)}}}
{{{x=(-27+- 29)/4}}}, MUST USE PLUS FORM.
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{{{highlight(x=1/2 *cm)}}}


Outside dimensions of the frame, 10.5 cm and 17.5 cm