Question 1101338
Rectangle dimensions x and y


{{{xy=2340}}}

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{{{(x+2)(y+2)-xy=206}}}


{{{xy+2y+2x+4-xy=206}}}

{{{2x+2y+4=206}}}

{{{x+y+2=103}}}

{{{x+y=101}}}


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{{{x+y=101,xy=2340}}}-----either factorize 2340 and look for combinations that work, or substitute and solve a quadratic equation.


{{{x(101-x)=2340}}}

{{{101x-x^2-2340}}}

{{{-x^2+101x-2340=0}}}

{{{x^2-101x+2340=0}}}


discriminant, {{{101^2-4*2340=841=29^2}}}

{{{highlight(x=(101+- 29)/2)}}}-------------one of these will be 'x' and the other is y.


Dimensions:  36 and 65