(a) x = 4
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with.
A = 8x + 16x
A = 24x
But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
A = 24x - x^2
Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2
Finally, let's make this into a regular quadratic equation and find the roots.
80 = 24x - x^2
0 = 24x - x^2 - 80
-x^2 + 24x - 80 = 0
Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20.
Of those two possible solutions, only the x=4 value is reasonable for the desired objective.
(b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.
Since you did not provide options for what 80

x could be equivalent to,, it is near to impossible to answer this question fully. I will simplify 80

x for you and then when you can provide the options for me,, I could help you find the answer if you need it.
To simplify this you must reduce the numbers with 4 in order to find your final answer.
20x.
This means that the correct answer to your question is 20x.
Let me know if you have any further questions.
:)
1)
|-6-2|=|-8|=8
2)
G and I
3)
|-6+2|= |-4|=4
the point that is 4 units away from H and K is I
I=-2
Answer:

Step-by-step explanation:
The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:
Rectangle 1 (top base): 
Rectangle 2 (bottom base): 
Trapezoids 1 and 2 (lateral): 
Rectangles 3 and 4 (lateral): 
Thus the total surface area is equal to
Answer:
This inequalitie is wrong because 0 is not more than 11
Step-by-step explanation: