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The area of a square poster is [tex]59 \, \text{in}^2[/tex]. Find the length of one side of the poster to the nearest tenth of an inch.

Answer :

Sure, let's solve this problem step-by-step.

The problem gives us the area of a square poster and asks us to find the length of one side. The area of a square can be given by the formula:

[tex]\[ \text{Area} = \text{side}^2 \][/tex]

Here, the area is 59 square inches. To find the length of one side, we need to take the square root of the area.

1. Understand the Problem:
- What we know: The area of the square is 59 square inches.
- What we need to find: The length of one side of the square.

2. Use the Area Formula:
- The formula for the area of a square is: [tex]\[ \text{Area} = \text{side}^2 \][/tex]
- Substituting the given area, we have: [tex]\[ 59 = \text{side}^2 \][/tex]

3. Solve for the Side Length:
- To find the side length, we'll take the square root of 59:
[tex]\[ \text{side} = \sqrt{59} \][/tex]

4. Calculate the Square Root:
- The square root of 59 is approximately 7.68114574787.

5. Round the Answer:
- To find the length to the nearest tenth of an inch, we round 7.68114574787 to one decimal place:
[tex]\[ \text{side} \approx 7.7 \][/tex]

So, the length of one side of the square poster is 7.7 inches to the nearest tenth of an inch.

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