Polygon abcd has the following vertices: a(−5, 4), b(1, 4), c(6, −4), and d(−5, −4) calculate the area of the polygon. 48 units squared 53 units squared 68 units squared 88 units squared **whoever gives the correct gets brainiest answer**make sure you explain why it is correct with/or details : )

The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.

 The searched polygon can be seen in the attached image.

 The area of the polygon will be the area of the square plus the area of the triangle.

 At = (6) * (8) + (1/2) * (5) * (8) = 68

 At = 68

 answer

 the area of the polygon is 68units ^ 2

wheres graph

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'.