document.write( "Question 152428This question is from textbook elementary and intermediate algebra concecpts and applications
\n" ); document.write( ": Can someone please refresh my memory? I really need it Thanks\r
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\n" ); document.write( "\n" ); document.write( "Solve the following problems involving applications of polynomials.
\n" ); document.write( "a. A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
\n" ); document.write( "b. A rectangular parking lot is 100 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 500 ft diagonally.
\n" ); document.write( "c. Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.\r
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Algebra.Com's Answer #112024 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
a.) Same as GEOMETRY PROBLEM #151709
\n" ); document.write( "SEE ANSWER# \"111525\" -------> DONE.
\n" ); document.write( "b.)The \"Length=L\" is 100ft longer than the \"width=W\" --->\"L=W%2B100ft\"
\n" ); document.write( "The \"diagonal=D\" side given = 500ft, by PYTHAGOREAN THEOREM:
\n" ); document.write( "\"D%5E2=L%5E2%2BW%5E2\", but \"L=W%2B100ft\", so
\n" ); document.write( "\"D%5E2=%28W%2B100%29%5E2%2BW%5E2\"
\n" ); document.write( "\"500%5E2=W%5E2%2B200W%2B10000%2BW%5E2\"
\n" ); document.write( "\"0=2W%5E2%2B200W%2B10000-250000\" ---> \"2W%5E2%2B200W-240000=0\", Divide the whole eqn by 2:
\n" ); document.write( "\"cross%282%29W%2Bcross%28200%29100W-cross%28240000%29120000=0\"\"%281%2Fcross%282%29%29\"
\n" ); document.write( "\"W%2B100W-120000=0\" ---> \"a=1\",\"b=100\", & \"c=-120000\"
\n" ); document.write( "By Pyth. theorem:
\n" ); document.write( "\"w=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"w=%28-100sqrt%28100%5E2-4%2A1%2A%28-120000%29%29%29%2F%282%2A1%29\"
\n" ); document.write( "\"w=%28-100%2B-sqrt%2810000%2B480000%29%29%2F2\"
\n" ); document.write( "\"w=%28-100%2B-sqrt%28490000%29%29%2F2\" ------> \"w=%28-100%2B-700%29%2F2\"
\n" ); document.write( "2 values:
\n" ); document.write( "\"w=%28-100%2B700%29%2F2=600%2F2=300ft\" ----------> TO BE USED ----> \"WIDTH=300ft\"
\n" ); document.write( "\"w=%28-100-700%29%2F2=-800%2F2=-400ft\" --------> DO NOT USE
\n" ); document.write( "So, \"L=300%2B100=400ft\"
\n" ); document.write( "To check, go back PYTH Theorem: \"500%5E2=400%5E2%2B300%5E2=160000%2B9000\"
\n" ); document.write( "\"25000=25000\", good!
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\n" ); document.write( "3.) Let \"X\" = 1st odd integer
\n" ); document.write( "\"X%2B2\"= 2nd odd integer
\n" ); document.write( "\"X%2B4\"= 3rd integer
\n" ); document.write( "condition: square of 3rd is 264 more than suqrae of 2nd: to show,
\n" ); document.write( "\"%28x%2B4%29%5E2=264%2B%28x%2B2%29%5E2\"
\n" ); document.write( "\"cross%28x%5E2%29%2B8x%2B16=264%2Bcross%28x%5E2%29%2B4x%2B4\"
\n" ); document.write( "\"8x-4x=264%2B4-16\" --> \"cross%284%29x%2Fcross%284%29=cross%28252%2963%2Fcross%284%29\"
\n" ); document.write( "\"x=63\" -----------------------> 1st odd integer
\n" ); document.write( "\"63%2B2=65\" --------------------> 2nd odd integer
\n" ); document.write( "\"63%2B4=67\" --------------------> 3rd odd integer
\n" ); document.write( "in doubt? go back to the condition:
\n" ); document.write( "\"%2867%5E2%29=264%2B%2865%5E2%29\"
\n" ); document.write( "\"4489=264%2B4225\"
\n" ); document.write( "\"4489=4489\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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