document.write( "Question 972505: Your neighbor has put in a 18 by 51 foot garden along the whole back end of their back yard. This reduced the back yard lawn area by 24%. What are the total dimensions of his back yard? What are the dimensions of the remaining lawn area? \n" ); document.write( "
Algebra.Com's Answer #594819 by ankor@dixie-net.com(22740)\"\" \"About 
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Your neighbor has put in a 18 by 51 foot garden along the whole back end of their back yard.
\n" ); document.write( " This reduced the back yard lawn area by 24%.
\n" ); document.write( " What are the total dimensions of his back yard?
\n" ); document.write( " What are the dimensions of the remaining lawn area?
\n" ); document.write( ":
\n" ); document.write( "Find the area of the garden; 18 * 51 = 918 sq/ft
\n" ); document.write( "We know the width of the yard is 51 ft
\n" ); document.write( "let L = the total length of the yard including the garden
\n" ); document.write( "then
\n" ); document.write( "51L = the area of the whole yard
\n" ); document.write( ":
\n" ); document.write( "Find the length of the yard
\n" ); document.write( "24% of the whole yard = the garden area
\n" ); document.write( ".24(51L) = 918
\n" ); document.write( "12.24L = 918
\n" ); document.write( "L = 918/12.24
\n" ); document.write( "L = 75 ft is the length of the whole yard
\n" ); document.write( "therefore
\n" ); document.write( "75 by 51 is dimensions of the back yard
\n" ); document.write( ":
\n" ); document.write( "Find the dimensions of the remaining lawn
\n" ); document.write( "75 - 18 = 57 ft is length
\n" ); document.write( "57 by 51 is dimensions of the remaining lawn
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if this checks out,
\n" ); document.write( "find the overall area: 75 * 51 = 3825 sq/ft
\n" ); document.write( "find the area of the remaining lawn, add to the garden area
\n" ); document.write( "57 * 51 = 2907
\n" ); document.write( "2907 + 918 = 3825
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