The perimeter of a rectangle is twice the sum of its length and width. the perimeter is 22 meters and it’s length is 2 meters more than twice it’s width. what is it’s length?

Perimeter = (2 * length) + (2 * width)

Perimeter = 22 meters
Length = 2w + 2
Width = w

Now plug in your given information and solve. 

2(2w + 2) + 2(w) = 22
4w + 4 + 2w = 22
6w + 4 = 22
6w = 22 - 4
6w = 18
w = 18 / 6
w = 3

Your width is 3 meters. 

Length = 2w + 2
2(3) + 2
6 + 2
8

Your length is 8 meters. 

the image of (6, 9) under a dilation is (4, 6). the scale factor is

b. 2/3