If the perimeter of a rectangle is 140 meters and the length is 5 meters less than 4 times the width, then what are the dimensions of the rectangle

Length (L): 4w - 5

width (w): w

Perimeter (P) = 2L + 2w

              140 = 2(4w - 5) + 2(w)

              140 = 8w - 10 + 2w

              140 = 10w - 10

               150 = 10w

                15 = w

Length (L): 4w - 5   = 4(15) - 5   = 60 - 5   = 55

width= 15meters, length=55 meters

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.