How much more is five ninth’s greater than 4 fifteenths
1 answer:
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Answer:
B. The two dimensions are the same in the triangles as they were in the rectangle.
Step-by-step explanation:
Given
Initial Shape: Rectangle (Before cut)
Final Shape: Triangles (After cut)
<em>Note that this can be explained properly with the use of attachments</em>
See attachment 1 for Before Cut
Before Cut represent the full rectangle before Jackie cut the piece of paper.
Let H and B represent the height and base of the triangle
Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle
See attachment 2 for After Cut
After Cut represent the two triangles after cutting the rectangle
From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;
In other words, the two triangle have their heights as H and their bases as B.
Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.
First, , and if we multiply
by
we get
Subtracting this from the numerator gives a remainder of
Next, , and if we multiply
by
we have
and subtracting this from the previous remainder, we end up with a new remainder of
Next, , and if we multiply
by
we get
Subtracting from the previous remainder, we get a new remainder of
which contains no more factors of , so we're done.
So,