document.write( "Question 591429: mr rich had a custom built sandbox made forhis young son. In order to personalize it he required that the width be 7 feet less than 3 times his young sons age and the length be 4 feet more than 2 his sons age. the Perimeter has to be his own age of 54 years old. Find the sons age and use it to find the dimensions of the sandbox \n" ); document.write( "
Algebra.Com's Answer #375613 by ankor@dixie-net.com(22740)\"\" \"About 
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In order to personalize it he required that the width be 7 feet less than 3 times his young sons age and the length be 4 feet more than 2 his sons age.
\n" ); document.write( " the Perimeter has to be his own age of 54 years old.
\n" ); document.write( " Find the sons age and use it to find the dimensions of the sandbox
\n" ); document.write( ":
\n" ); document.write( "let s = the son's age
\n" ); document.write( "then
\n" ); document.write( "\"the width be 7 feet less than 3 times his young sons age\"
\n" ); document.write( "w = 3s-7
\n" ); document.write( ":
\n" ); document.write( "\"the length be 4 feet more than 2 his sons age.\"
\n" ); document.write( "L = 2s+4
\n" ); document.write( ":
\n" ); document.write( " \"Perimeter has to be his own age of 54 years old.\"
\n" ); document.write( "p = 54
\n" ); document.write( "2L + 2W = 54
\n" ); document.write( "Simplify, divide by 2
\n" ); document.write( "L + w = 27
\n" ); document.write( "L = (27-w)
\n" ); document.write( ":
\n" ); document.write( "Replace L with (2s+4), replace w with (3s-7)
\n" ); document.write( "2s + 4 = 27 - (3s-7)
\n" ); document.write( "2s + 4 = 27 - 3s + 7
\n" ); document.write( "Combine like terms
\n" ); document.write( "2s + 3s = 27 + 7 - 4
\n" ); document.write( "5s = 30
\n" ); document.write( "s = 6 yrs old is his son's age
\n" ); document.write( ":
\n" ); document.write( "Find w
\n" ); document.write( "w = 3(6)-7
\n" ); document.write( "w = 11 ft wide
\n" ); document.write( "find L
\n" ); document.write( "L = 2(6)+4
\n" ); document.write( "L = 16 ft long
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\n" ); document.write( "Check this by finding the perimeter using these dimensions
\n" ); document.write( "2(16) + 2(11) =
\n" ); document.write( "32 + 22 = 54; confirm our solutions\r
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