A rectangle has a perimeter Of 19 cm it’s areas 21 cm² find its dimensions

the two dimensions of the rectangle are 3.5 cm and 6 cm.

Step-by-step explanation:

So, we know the perimeter is 19 cm. Which can also be represented as 2w + 2l = 19 (w = width, L = length)

We also know the area is 21 cm^2, or w*l = 21

so we have two equations:

2w + 2L = 19

wL = 21

Now, we can isolate one of the variables so that we can substitute it into the other equation.

we can isolate w by dividing the second equation by L.

w = 21/L

Now we can substitute that into the first equation:

2(21/L) + 2L = 19

42/L + 2L = 19

42 + 2L^2 = 19L

2L^2 - 19L + 42 = 0

(2L - 7) (L - 6)

L = 3.5, 6 ==> now we know the two dimensions of the rectangle are 3.5 cm and 6 cm.

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.