Question 1093022
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A new swimming pool measures 15 ft by 20 ft. A strip of grass of uniform width x will be planted around three sides of the pool, the two shOrt sides and one of the longer sides. There is enough grass for 168 square feet of lawn. Write and solve an inequality ti determine width of the strip that can be seeded.
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Draw and label the picture.  You do that.


Total grass strip area covered is  
{{{15x+15x+20x+2x^2}}}
{{{2x^2+20x+30x}}}
{{{highlight_green(2x^2+50x)}}}.


168 square feet of available grass seed;
{{{2x^2+50x<=168}}}
and left side must be greater than 0;

{{{2x^2+50x-168<=0}}}
{{{x^2+25x-84<=0}}}
general solution of quadratic equation:
{{{x=(-25+- 31)/2}}}


{{{x=(31-25)/2}}}

{{{x=3}}}


MAXIMUM width for the grass strips is 3 feet.


{{{highlight(0<x<3)}}}