A rectangular lawn has an area of 140 square yards. Its width is 6 yards less than twice its length. Determine the length and width of the lawn. Round to
the nearest tenth if necessary

length : 10 yard

width: 14  yard

Step-by-step explanation:

Let l be the length of the yard.

Since the width is 6 yards less than twice its length, we can say the width is 2l-6.

With width x length=area,

l (2l -6) = 140

2l^2 - 6l = 140

2l^2 - 6l - 140 = 0

Using the quadratic formula,

we can determine l = 10 or -7

since the length should not be negative,

the length is 10 yard.

Now substitute l=10 into 2l-6.

width = 2(10)-6

= 14 yard

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions