A frame maker is hired by an art museum to make a special frame for a large rectangle painting. The painting is 3 times as long as it is tall. The expression 2(x+3x) represents the perimeter of the painting, where x represents the length of the short side of the painting in feet. What is the total feet of framing needed if the short side of the painting measures 2.6 feet?

We have been given that the painting is 3 times as long as it is tall.The expression represents the perimeter of the painting, where x represents the length of the short side of the painting in feet.

To find the the amount of framing needed when short side of the painting measures 2.6 feet, we will substitute in our given expression.

We can simplify our expression as:

Therefore, a total of 20.8 feet of framing is needed.

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'.

you already gave the answer

step-by-step explanation: