What is the area of this figure?

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the area of the figure is cm².

Step-by-step explanation:

In the given figure, We have a trapezoid and a triangle sharing a common base of 14 cm.

For trapezoid,

Area =, where a and b are the opposite parallel sides and h is the height.

Therefore, Area of trapezoid =

For triangle,

The height of triangle H =18 cm - 10 cm = 8 cm

Area =, where  b is the base and h is the height.

Area of triangle=

Total area of the figure =

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'.