Answer:
See Explanation
Step-by-step explanation:
Given
Rectangle A:
![Length: 10\ in](https://tex.z-dn.net/?f=Length%3A%2010%5C%20in)
![Width: 8\ in](https://tex.z-dn.net/?f=Width%3A%208%5C%20in)
Required
Determine the possible dimensions of Rectangle B
<em>The question has missing options; however, the question can still be solved.</em>
<em></em>
Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B
Take for instance, the measurements of Rectangle B are
![Length: 15 in](https://tex.z-dn.net/?f=Length%3A%2015%20in)
![Width: 12 in](https://tex.z-dn.net/?f=Width%3A%2012%20in)
Divide the corresponding lengths of B by A to get the enlargement ratio
![Ratio = \frac{B}{A}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7BB%7D%7BA%7D)
For length:
![Ratio = \frac{15}{10}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B15%7D%7B10%7D)
![Ratio = 1.5](https://tex.z-dn.net/?f=Ratio%20%3D%201.5)
For width
![Ratio = \frac{12}{8}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B12%7D%7B8%7D)
![Ratio = 1.5](https://tex.z-dn.net/?f=Ratio%20%3D%201.5)
Notice that both ratios are the same.
For this measurement of B, we can conclude that B is an enlargement of A
Assume another measurements for B
![Length: 20\ in](https://tex.z-dn.net/?f=Length%3A%2020%5C%20in)
![Width: 10\ in](https://tex.z-dn.net/?f=Width%3A%2010%5C%20in)
Calculate Ratios
![Ratio = \frac{B}{A}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7BB%7D%7BA%7D)
For length:
![Ratio = \frac{20}{10}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B20%7D%7B10%7D)
![Ratio = 2](https://tex.z-dn.net/?f=Ratio%20%3D%202)
For width
![Ratio = \frac{10}{8}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B10%7D%7B8%7D)
![Ratio = 1.25](https://tex.z-dn.net/?f=Ratio%20%3D%201.25)
Notice that, both ratios are not equal.
For this measurement of B, we can conclude that B is not an enlargement of A
<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>