Question 162682
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Area of pool w/ walkway={{{A[pw]=1280tf^2=LW}}}, EQN 1
where, {{{W=x(ft)}}}; {{{L=x+8(ft)}}}
For the {{{L}}} we need to add 4ft on both sides to add the walkway, also for the {{{W}}} we need to add 4ft on both sides for the walkway.
{{{W=x+4+4}}}; {{{L=x+8+4+4}}} ----> new dimensions, susbt. in EQN 1
{{{A[pw]=(x+8+4+4)(x+4+4)}}}--------------> Working Eqn
{{{1280=(x+16)(x+8)}}}
{{{x^2+16x+8x+128-1280=0}}}, multiply & put all terms in one side
{{{x^2+24x-1152=0}}}
*note: {{{system(a=1,b=24,c=-1152)}}}
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}
Continue it. ANSWER ----> {{{x=24ft}}}, ORIG. WIDTH
{{{24+8=32ft}}}, ORIG LENGTH
In doubt? Go back Working Eqn,
{{{1280=(24+8+4+4)(24+4+4)}}}
{{{1280=(40)(32)}}}
{{{1280=1280}}}
Thank you,
Jojo</pre>