You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. how much should each side be to maximize your total area? what will the total area be for the garden? find the length, width, and area of your garden that will maximize its total area.

length:
width:
area:

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

we have

so

simplify

------> equation A

Remember that the area of rectangle is equal to

----> equation B

substitute equation A in equation B

----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point

see the attached figure

so

Find the value of y

The garden is a square

the area is equal to

----> is equal to the y-coordinate of the vertex is correct

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

answer: the answer is fre sha voca do

step-by-step explanation: