Answer:
6.3520866e+29
Step-by-step explanation:
The pathway is 8.46 yards.
<h3>How to find the length of the pathway?</h3>
To find the length of the pathway, it is required to find how long is the diagonal line from one corner of the herb garden to the opposite corner. As shown in the image attached.
The general formula for this is:
- d = a√2 or diagonal = side√2
Let's apply this formula:
- d= 6 √2
- d= 6 x 1.41
- d= 8.46 yards
Learn more about yards in: brainly.com/question/14516546
The third choice is very useful. It's valid because two things that are both equal to 'y' are equal to each other, and it can be easily solved to find 'x'.
Continuing from the setup in the question linked above (and using the same symbols/variables), we have




The next part of the question asks to maximize this result - our target function which we'll call

- subject to

.
We can see that

is quadratic in

, so let's complete the square.

Since

are non-negative, it stands to reason that the total product will be maximized if

vanishes because

is a parabola with its vertex (a maximum) at (5, 25). Setting

, it's clear that the maximum of

will then be attained when

are largest, so the largest flux will be attained at

, which gives a flux of 10,800.
If the width = x m then the length = 2x - 4 m
Area = x(2x - 4) = 70
2x^2 - 4x - 70 = 0
2x^2 - 14x + 10x - 70 = 0
2x(x - 7) + 10(x - 7) = 0
(2x + 10)(x - 7) = 0
x = 7 or -5 ( ignore negative)
width = 7 m and length = 10 m answer