Question

avis dining room measures 124 square feet and is in the shape of a square. which is the best estimate of the length of one side of the room, to the nearest tenth of a foot?

10.7 feet
10.9 feet
11.1 feet
11.4 feet

Explanation:

Set up the square area equation

$$ s^2 = 124 \implies s = \sqrt{124} $$

Identify bounding perfect squares

$$ 11^2 = 121 < 124 < 144 = 12^2 \implies 11 < \sqrt{124} < 12 $$

Estimate the square root to the nearest tenth

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Answer:

• 10.7 feet
• 10.9 feet
• 11.1 feet (Correct answer)
• 11.4 feet