Answer:
Polygon Y's area is one ninth (1/9) of Polygon X's area
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem
Let
z-----> the scale factor
a-----> Polygon Y's area
b----> Polygon X's area
we have
substitute
therefore
Polygon Y's area is one ninth (1/9) of Polygon X's area
Below is the proof why the area of a parallelogram is B times H
<h3>How to form a rectangle from the parallelogram</h3>The following steps would create a rectangle from the parallelogram
See attachment for the steps.
When the rectangle has been created, we have the following dimensions:
Length = h
Width = B
The area of a rectangle is:
Area = Length * Width
This gives
Area = h * B
Evaluate
Area = Bh
Hence, the area of a parallelogram is B times H
Read more about parallelograms at:
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