A rectangular vegetable garden will have a width that is 4 feet less than the length, and an area of 140 square feet. If x represents the length, then the length can be found by solving the equation:x(x-4)= 140What is the length, x, of the garden?The length is blank feet.The solution is

Answer:The length of the garden=14 feetStep-by-step explanation:Step 1: Determine the dimensions of the gardenlength of the garden=x feetwidth of the garden=(x-4) feetStep 2: Determine the area of the gardenArea of the garden=length×widthwhere;area=140length=xwidth=x-4replacing'x(x-4)=140x²-4x-140=0, solve the quadratic equation;x={-b±√(b²-4ac)}/2ax={4±√4²-4×1×-140}/2×1x={4±√(16+560)}/2x={4±√576}/2x=(4±24)/2x=(4+24)/2=14, or (4-24)/2=-10, take x=14The length=14 feet, width=(14-4)=10 feetThe length of the garden=14 feet