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Q.The length of a rectangular playing field is 5 ft less than twice its width.
\n" ); document.write( "If the perimeter of the playing field is 230 ft, find the length and width of the field.
\n" ); document.write( "ANS:
\n" ); document.write( "Let the length of the field = a
\n" ); document.write( "Let the width of the field = b
\n" ); document.write( "We know that the perimeter of the rectangular field = 2*a+2*b
\n" ); document.write( "(since rectangle is made up of 4 sides and two opposite sides are equal,
\n" ); document.write( "perimeter is the total length of the sides i.e if we open the rectangle and all
\n" ); document.write( "its sides are laid down in straight line connected with each other,total length is defined as primeter)
\n" ); document.write( "Here according to the question , a = 2 * b - 5
\n" ); document.write( " hence perimeter = 2 * a + 2 * b
\n" ); document.write( " = 2 * ( 2 * b - 5 ) + 2 * b
\n" ); document.write( " = 4 * b - 2 * 5 + 2 * b
\n" ); document.write( " = 6 * b - 10
\n" ); document.write( " perimeter given is 230 ft.
\n" ); document.write( " hence 6 * b - 10 = 230
\n" ); document.write( " 6 * b = 230 + 10
\n" ); document.write( " b = 240 / 6 = 40 ft
\n" ); document.write( " hence a = 2 * b - 5 = ( 2 * 40 ) - 5
\n" ); document.write( " = 80 - 5 = 75 ft
\n" ); document.write( "answer : two sides are length = 75 ft
\n" ); document.write( " and width = 40 ft.
\n" ); document.write( "you can check the correctness of answer by calculating the perimeter ,
\n" ); document.write( " perimeter = 2 * 75 + 2 * 40 = 230 ft \n" ); document.write( "