Leon is using an area model to multiply 38×14. First, he makes a rectangle that is 38 units long and 14 units tall. Then, he breaks it into smaller parts using place value to make it easier to multiply. Use the drop-down menus to show the area of each part.

300, 120, 80 and 32 respectively.

Step-by-step explanation:

To break it down for easy multiplication, write

38 as 30 + 8

14 as 10 + 4

Now let's multiply

(30 + 8)(10 + 4) = 300 + 120 + 80 + 32

So the areas of each part would be

300, 120, 80 and 32 respectively.

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'.