Answer:
The area of polygon JKLMNO is 48 square units
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
Find the scale factor
we know that
If two figures are similar, the the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
Let
z ----> the scale factor
The scale factor of the dilation of polygon PQRSTU to polygon JKLMNO is
![z=\frac{KJ}{QP}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BKJ%7D%7BQP%7D)
substitute the given values
![z=\frac{4}{5}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B4%7D%7B5%7D)
step 2
Find the area of polygon JKLMNO
we know that
If two figures are similar, the the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> area of polygon JKLMNO
y ----> area of polygon PQRSTU
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{4}{5}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B4%7D%7B5%7D)
![y=75\ units^2](https://tex.z-dn.net/?f=y%3D75%5C%20units%5E2)
substitute
![(\frac{4}{5})^{2}=\frac{x}{75}](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B5%7D%29%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7B75%7D)
solve for x
![x=(\frac{16}{25})75=48\ units^2](https://tex.z-dn.net/?f=x%3D%28%5Cfrac%7B16%7D%7B25%7D%2975%3D48%5C%20units%5E2)
therefore
The area of polygon JKLMNO is 48 square units
True because both pairs of opposite side parallel
Answer:
yes it is extreme and i got an answer for ya
Step-by-step explanation:
514
hope i helped
Answer:
72
Step-by-step explanation:
Answer:
B
Step-by-step explanation:7 is greater than 2