(2) What is the perimeter of a rectangle that is \( 3 \frac{3}{10} \mathrm{~cm} \) long and \( 2 \frac{7}{10} \mathrm{~cm} \) wide? \( 2 \frac{7}{10} \) \( 3 \frac{3}{10} \)
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The Deep Dive
To find the perimeter of a rectangle, you can use the formula \( P = 2 \times (length + width) \). First, convert the mixed numbers to improper fractions: the length \( 3 \frac{3}{10} \) becomes \( \frac{33}{10} \) and the width \( 2 \frac{7}{10} \) becomes \( \frac{27}{10} \). Now, add these: \( \frac{33}{10} + \frac{27}{10} = \frac{60}{10} = 6 \). Multiply by 2 to find the perimeter: \( P = 2 \times 6 = 12 \) cm. Now, remember that when you're adding fractions, make sure they have the same denominator. If you forget this step, you might end up with an incorrect answer, second-guessing how you got there! Always take a moment to check for any simplifications or common denominators before moving on to calculations.
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