Sissy wants to enlarge a picture of a constellation so that she can put it on the wall in her daughter's room. What will be the area of the enlarged picture on the wall?

A. 24 in. [tex]$^2$[/tex]
B. 108 in. [tex]$^2$[/tex]
C. 224 in. [tex]$^2$[/tex]
D. 486 in. [tex]$^2$[/tex]



Answer :

Certainly! Let's solve the problem step by step:

1. Understanding the Question:
Sissy wants to enlarge a picture so she can put it on the wall. The question asks us to find out which of the given options represents the area of the enlarged picture.

The options given are:
- 24 square inches
- 108 square inches
- 224 square inches
- 486 square inches

2. Identifying the Correct Area:
By considering available options and necessary context (e.g., typical wall dimensions and reasonable picture sizes for display), we need to decide the most suitable area for the enlarged picture.

3. Selecting the Answer:
- When comparing the given areas, 24 square inches might be too small for a wall display.
- 108 square inches is significantly larger but still might not fulfill the requirement of “enlargement” for displaying on a wall.
- 224 square inches is getting larger and might be sufficient depending on the wall size. However, compared to the largest area given, it appears moderate.
- 486 square inches is the largest option given and would reasonably cover a good part of a wall, making it the most likely candidate for the enlarged picture.

4. Conclusion:
Therefore, the most plausible answer, considering the size appropriate for enlarging and displaying the picture on a wall, is:

- 486 square inches.

Therefore, the area of the enlarged picture that Sissy should use to put on the wall in her daughter's room is 486 in².