document.write( "Question 56903: CAN SOMEONE PLEASE ASSIST:
\n" ); document.write( "THE LENGTH OF A RECTANGULAR GARDEN IS 8FT LESS THEN 3 TIMES ITS WIDTH. IF THE PERIMETER OF THE GARDEN IS 48FT, FIND THE DIMENSIONS OF THE GARDEN.. \n" ); document.write( "
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CAN SOMEONE PLEASE ASSIST:
\n" ); document.write( "THE LENGTH OF A RECTANGULAR GARDEN IS 8FT LESS THEN 3 TIMES ITS WIDTH. IF THE PERIMETER OF THE GARDEN IS 48FT, FIND THE DIMENSIONS OF THE GARDEN..
\n" ); document.write( "P=2(length+width) [Use the formula for the perimeter of a rectangle.]
\n" ); document.write( "P=48
\n" ); document.write( "Length = (3)(width)-8=(3w-8)
\n" ); document.write( "Width = width = w
\n" ); document.write( ".
\n" ); document.write( "48=2[(3w-8)+w] [Plug-in the values]
\n" ); document.write( "48=2(3w-8+w] [Simplify]
\n" ); document.write( "48=2(4w-8]
\n" ); document.write( "48=8w-16 [Solve for w]
\n" ); document.write( "48+16=8w
\n" ); document.write( "64=8w
\n" ); document.write( "8=w
\n" ); document.write( "So, the width is 8 ft.
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "To find the length:
\n" ); document.write( "length=(3w-8)=(3)(8)-8=24-8=16 feet
\n" ); document.write( ".
\n" ); document.write( "Check by plugging all of the values back into the original equation.
\n" ); document.write( "48=2(3(8)-8+8)
\n" ); document.write( "48=2(24)
\n" ); document.write( "48=48 [Checks out]
\n" ); document.write( " \n" ); document.write( "
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