The perimeter of the rectangle shown is 96 feet. Determine the length and width of the rectangle.

Length = 37 feet

width = 11 feet

Step-by-step explanation:

First, let us find the value of x.

They've already given that the perimeter of this rectangle is 96 feet.

So,

4x - 7 + 4x - 7 + x + x = 96

10x - 14 = 96

10x = 96 + 14

10x = 110

Divide both sides by x.

x = 11 feet

And now we can find the value of the width and length.

Given that,

Length = ( 4x - 7 ) ⇒ ( 4 × 11 - 7 )

                                  44 - 7

                                    37 feet

Width = x ⇒ 11 feet

Let me know if you have any other questions :-)

answer: x= -2y

step-by-step explanation:

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'.