6 Shane designed a rectangular mural that is
yards long and yards high. What is
the area in square yards of the mural?

Ask by Warren Lyons. in the United States

Jan 24,2025

Question

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?

UpStudy AI · Accepted Answer

To find the area of Shane's rectangular mural, we'll multiply the length by the height.

**Given:**
- **Length:** $$ 2 \frac{3}{4} $$ yards
- **Height:** $$ 1 \frac{1}{3} $$ yards

**Step 1: Convert Mixed Numbers to Improper Fractions**

1. **Convert $$ 2 \frac{3}{4} $$ to an improper fraction:**
   $$
   2 \frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}
   $$

2. **Convert $$ 1 \frac{1}{3} $$ to an improper fraction:**
   $$
   1 \frac{1}{3} = \frac{(1 \times 3) + 1}{3} = \frac{3 + 1}{3} = \frac{4}{3}
   $$

**Step 2: Multiply the Improper Fractions to Find the Area**

$$
\text{Area} = \frac{11}{4} \times \frac{4}{3} = \frac{11 \times 4}{4 \times 3} = \frac{44}{12}
$$

**Step 3: Simplify the Fraction**

$$
\frac{44}{12} = \frac{11}{3}
$$

**Step 4: (Optional) Convert Back to a Mixed Number**

$$
\frac{11}{3} = 3 \frac{2}{3}
$$

**Final Answer:**
The area of the mural is $$ \frac{11}{3} $$ square yards or $$ 3 \frac{2}{3} $$ square yards.
The area of the mural is $$ \frac{11}{3} $$ square yards or $$ 3 \frac{2}{3} $$ square yards.

6 Shane designed a rectangular mural that is
yards long and yards high. What is
the area in square yards of the mural?

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6 Shane designed a rectangular mural that is yards long and yards high. What is the area in square yards of the mural?