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6 Shane \( { }^{2} \) 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 George Bright. in the United States
Feb 03,2025

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

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Bonus Knowledge

To find the area of the rectangular mural, you multiply the length by the height. First, convert the mixed numbers into improper fractions. The length \(2 \frac{3}{4}\) yards is equal to \(\frac{11}{4}\) yards (since \(2 \times 4 + 3 = 11\)), and the height \(1 \frac{1}{3}\) yards is equal to \(\frac{4}{3}\) yards (since \(1 \times 3 + 1 = 4\)). Now, calculate the area: \[ \text{Area} = \frac{11}{4} \times \frac{4}{3} = \frac{11 \times 4}{4 \times 3} = \frac{11}{3} \] Therefore, the area of the mural is \(\frac{11}{3}\) square yards, which can also be expressed as approximately \(3 \frac{2}{3}\) square yards or about \(3.67\) square yards.

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