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) = 140

What is the length, x, of the garden?

The length is blank feet.

The solution is

The length of the garden=14 feet

Step-by-step explanation:

Step 1: Determine the dimensions of the garden

length of the garden=x feet

width of the garden = (x-4) feet

Step 2: Determine the area of the garden

Area of the garden=length*width

where;

area=140

length=x

width=x-4

replacing'

x (x-4) = 140

x²-4x-140=0, solve the quadratic equation;

x={-b±√ (b²-4ac) }/2a

x={4±√4²-4*1*-140}/2*1

x={4±√ (16+560) }/2

x={4±√576}/2

x = (4±24) / 2

x = (4+24) / 2=14, or (4-24) / 2=-10, take x=14

The length=14 feet, width = (14-4) = 10 feet

The length of the garden=14 feet