Question 177922
the key is it is a uniform in width meaning the same all around the pool
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so lets call this uniform distance x
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so the length of the total area is 8+2x and the width is 4+2x. L=8+2x,W=4+2x
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{{{(8+2x)(4+2x)=96}}}
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{{{32+16x+8x+4x^2=96}}}
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{{{4x^2+24x-64=0}}}
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{{{x^2+6x-16=0}}}
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{{{(x+8)(x-2)=0}}}
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so x is either -8 or 2.....since lengths arent negative our answer is 
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x=2 meters
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W=4+2x=8 meters