--------------------------------------------------------------------------------- Define Length and Width --------------------------------------------------------------------------------- Let the width be x Width = x Length = 2x + 5
--------------------------------------------------------------------------------- Form equation and solve for x --------------------------------------------------------------------------------- x(2x + 5) = 63 2x² + 5x = 63 2x² + 5x - 63 = 0 <span>(x+7)(2x-9) = 0 </span>x = -7 (rejected, length cannot be negative) or 2x - 9 = 0 2x - 9 = 0 2x = 9 x = 9 ÷ 2 x = 4.5 ft
--------------------------------------------------------------------------------- Find Length and Width --------------------------------------------------------------------------------- Width = x = 4.5 ft Length = 2x + 5 = 2(4.5) + 5 = 14 ft
--------------------------------------------------------------------------------- Answer: Width = 4.5 ft , Length = 14 ft ---------------------------------------------------------------------------------
