To find the length of one side of the square poster, we need to start by recalling that the area of a square is given by the formula:
[tex]\[ \text{Area} = \text{side length} \times \text{side length} \][/tex]
This can be rewritten as:
[tex]\[ \text{Area} = \text{side length}^2 \][/tex]
Given that the area of the square poster is 31 square inches, we need to solve for the side length:
[tex]\[ \text{side length} = \sqrt{\text{Area}} \][/tex]
Plugging in the given area:
[tex]\[ \text{side length} = \sqrt{31} \][/tex]
Calculating the square root of 31, we find it to be approximately 5.5677643628300215.
### PART A: To the nearest whole inch
To find the length of the side to the nearest whole inch, we round 5.5677643628300215 to the nearest whole number:
[tex]\[ \text{side length (whole inch)} = 6 \][/tex]
The length of one side of the poster, rounded to the nearest whole inch, is 6 inches.
### PART B: To the nearest tenth of an inch
To find the length of the side to the nearest tenth of an inch, we round 5.5677643628300215 to one decimal place:
[tex]\[ \text{side length (nearest tenth)} = 5.6 \][/tex]
The length of one side of the poster, rounded to the nearest tenth of an inch, is 5.6 inches.
In summary:
- The length of one side of the poster, rounded to the nearest whole inch, is 6 inches.
- The length of one side of the poster, rounded to the nearest tenth of an inch, is 5.6 inches.
