An architect designed the rectangular flower garden such that the width is exactly 2/3 of the length if 290 feet of antique pig fencing or to used enclose the garden find the dimensions of the garden what is the length of the garden

The length of the garden is 87 feet

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 rectangle is equal to

we have that

The perimeter must be equal to 290 feet

so

----> equation A

The width is exactly 2/3 of the length

----> equation B

solve the system by substitution

substitute equation B in equation A and solve for x

therefore

The length of the garden is 87 feet

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.