The length of a rectangle is x and the width is 2x-8. if the area of the rectangle is 234 yd^2, find the value of x.

x = 13

Step-by-step explanation:

The area of a rectangle is found by A = l*w. Since the length here is x and the width is 2x - 8, substitute these values and A = 234 to solve for x.

To solve for x, move 234 to the other side by subtraction. Then remove the common factor between all three terms of 2. Factor and solve.

Set each factor equal to 0 and solve.

x - 13 = 0 so x = 13

x + 9 = 0 so x = -9

Since x is a side length and length/distance cannot be negative, then x = 13 is the length of the rectangle.

step-by-stp

the correct answer is the section c

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'.