document.write( "Question 31868This question is from textbook algebra
\n" ); document.write( ": A square pool has length p. The border of the pool is 1 ft. wide. The combined area of the border and the pool is 400ft squared. Find the area of the pool \n" ); document.write( "
Algebra.Com's Answer #18434 by Paul(988)\"\" \"About 
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you may need to draw a diagram for better understanding:
\n" ); document.write( " __________________
\n" ); document.write( "| 1______________1 |
\n" ); document.write( "|1| |1|
\n" ); document.write( "| | p| |
\n" ); document.write( "|1|______________|1|P+2
\n" ); document.write( "|_1______________1_|
\n" ); document.write( "Total area = 400ft.
\n" ); document.write( "Total length for a side = p+2:
\n" ); document.write( "Area of a square is given by n^2:
\n" ); document.write( "\"%28p%2B2%29%5E2=400\"
\n" ); document.write( "\"p%5E2%2B4%2B4p=400\"
\n" ); document.write( "\"p%5E2%2B4p-396=0\"
\n" ); document.write( "Factor:
\n" ); document.write( "(p-18)(p+22)=0
\n" ); document.write( "p=18 or p=-22
\n" ); document.write( "Remove the negative, and hence, the length for the square is 18ft long, and the area of the pool is 324ft squared.
\n" ); document.write( "18^2=324ft
\n" ); document.write( "Paul. \n" ); document.write( "
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