Question
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6 Shane designed a rectangular mural that is \( 2 \frac{3}{4} \) yards long and \( 1 \frac{1}{3} \) yards high. What is the area in square yards of the mural?

Ask by Warren Lyons. in the United States
Jan 24,2025

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Answer

The area of the mural is \( \frac{11}{3} \) square yards or \( 3 \frac{2}{3} \) square yards.

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Bonus Knowledge

To find the area of the mural, we first convert the mixed numbers into improper fractions. The length \( 2 \frac{3}{4} \) yards converts to \( \frac{11}{4} \) yards and the height \( 1 \frac{1}{3} \) yards converts to \( \frac{4}{3} \) yards. Next, we calculate the area by multiplying the length by the height: \[ \text{Area} = \frac{11}{4} \times \frac{4}{3} = \frac{11 \times 4}{4 \times 3} = \frac{11}{3} \text{ square yards.} \] So, the area of the mural is \( \frac{11}{3} \) square yards, which is approximately \( 3 \frac{2}{3} \) square yards. Happy mural designing!

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