Questions: Asher owns a square plot of land. He knows that the area of the plot is between 4200 and 4300 square meters. Which of the following is a possible value for the side length of the plot of land?

Asher owns a square plot of land. He knows that the area of the plot is between 4200 and 4300 square meters. Which of the following is a possible value for the side length of the plot of land?
Transcript text: Asher owns a square plot of land. He knows that the area of the plot is between 4200 and 4300 square meters. Which of the following is a possible value for the side length of the plot of land?
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Solution

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Solution Steps

Step 1: Find the square root of the lower bound

The area of a square is given by side * side = side². Since the area is between 4200 and 4300 sq. m., the side length must be between √4200 and √4300. √4200 ≈ 64.8

Step 2: Find the square root of the upper bound

√4300 ≈ 65.6

Step 3: Determine possible side lengths

Since the side length is between approximately 64.8 m and 65.6 m, any value within this range would be a possible side length.

Final Answer:

Any value between 64.8 meters and 65.6 meters.

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