QuestionAugust 25, 2025

Find the length of a side of a square for each area given. 6. (100)/(9) square meters 7. 2.25 square units 8. 144 square inches

Find the length of a side of a square for each area given. 6. (100)/(9) square meters 7. 2.25 square units 8. 144 square inches
Find the length of a side of a square for each area given. 6. (100)/(9) square meters 7. 2.25 square units 8. 144 square inches

Solution
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Answer

\( \frac{10}{3} \) meters, 1.5 units, 12 inches Explanation 1. Use the formula for area of a square The area of a square is given by **A = s^2**, where s is the side length. 2. Solve for side length Rearrange the formula to find s: **s = \sqrt{A}**. 3. Calculate side length for each area For \( \frac{100}{9} \) square meters: - \( s = \sqrt{\frac{100}{9}} = \frac{\sqrt{100}}{\sqrt{9}} = \frac{10}{3} \) meters. For 2.25 square units: - \( s = \sqrt{2.25} = 1.5 \) units. For 144 square inches: - \( s = \sqrt{144} = 12 \) inches.

Explanation

1. Use the formula for area of a square<br /> The area of a square is given by **$A = s^2$**, where $s$ is the side length.<br /><br />2. Solve for side length<br /> Rearrange the formula to find $s$: **$s = \sqrt{A}$**.<br /><br />3. Calculate side length for each area<br /><br /> For \( \frac{100}{9} \) square meters:<br />- \( s = \sqrt{\frac{100}{9}} = \frac{\sqrt{100}}{\sqrt{9}} = \frac{10}{3} \) meters.<br /><br /> For 2.25 square units:<br />- \( s = \sqrt{2.25} = 1.5 \) units.<br /><br /> For 144 square inches:<br />- \( s = \sqrt{144} = 12 \) inches.
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