WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW ALL WORK NECESSARY PLEASE AND THANK YOU. Jasmine is fencing in a new garden along the side of her house as shown below. She has 12 m of fencing for the 3 sides of the garden. What is the length of the garden, in metres, with the maximum area? THANKS>.

9514 1404 393

  6 m

Step-by-step explanation:

Let p represent the length of the perimeter fence. Let x represent the length parallel to the house. Then the width perpendicular to the house is ...

  w = (p -x)/2

and the area of the garden is ...

  area = length · width

  area = x(p -x)/2

For a fixed perimeter length p, this equation describes a parabola that opens downward. Its vertex is on the line of symmetry, halfway between the zeros. The area will be zero when x=0 and when x=p, so the vertex (maximum area) is located at ...

  x = (0 +p)/2 . . . . . average of zero values

  x = p/2

Here, we have p=12 m, so p/2 = 6 m, and the width is (12 -6)/2 = 3 m.

The length of the maximum-area garden is 6 meters.

_____

Its area is 18 square meters.

Step-by-step explanation:

Let the width be w and the length be l

We have the measure of 3 sides:

Area of the garden is:

Substitute w with l using the first equation:

The final expression for the area can have maximum value when l - 6 = 0 because the first part of expression gets negative value for any l ≠ 6

And the maximum possible area is 18 m²

So l = 6 m is the answer for maximum area

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

here is the

mark brainliest pl