Jawad’s bedroom has one wall that does not have a door or window.

A rectangle with length 4 and 2-thirds yards and width 3 and 1-half yards.

A. Complete the statements to estimate the area of the wall.

312
 rounds to 

 . 423
 rounds to 
Choose...
 .
The area of the wall is about 

  square yards.

B. Find the actual area of the wall.

Let's break down this problem step by step.

### Part A: Estimating the Area

We have a rectangle with the following dimensions:
- Length: \(4 \frac{2}{3}\) yards
- Width: \(3 \frac{1}{2}\) yards

To estimate the area, we'll round the dimensions to simpler whole numbers:

- Length: \(4 \frac{2}{3} \approx 5\) (since \(4 \frac{2}{3}\) is closer to 5)
- Width: \(3 \frac{1}{2} \approx 3\) (since \(3 \frac{1}{2}\) is closer to 3)

Now, we estimate the area:
\[
\text{Estimated area} = 5 \times 3 = 15 \, \text{square yards}.
\]

For the rounding part:
- \(4 \frac{2}{3} \approx 5\) rounds to **5**.
- \(3 \frac{1}{2} \approx 3\) rounds to **3**.

Thus, the estimated area is about **15 square yards**.

### Part B: Actual Area of the Wall

To find the exact area, multiply the actual dimensions of the rectangle:

- Length: \(4 \frac{2}{3} = \frac{14}{3}\) yards
- Width: \(3 \frac{1}{2} = \frac{7}{2}\) yards

Now, calculate the area:
\[
\text{Actual area} = \frac{14}{3} \times \frac{7}{2} = \frac{14 \times 7}{3 \times 2} = \frac{98}{6} = 16 \frac{1}{3} \, \text{square yards}.
\]

### Final Answers:
- **A. Estimated area of the wall is about 15 square yards**.
- **B. The actual area of the wall is \(16 \frac{1}{3}\) square yards**.

Would you like more details or have any further questions?

Here are some related questions:
1. How do you convert mixed numbers to improper fractions?
2. What are the steps for multiplying fractions?
3. How do you round mixed numbers to the nearest whole number?
4. What’s the difference between estimating and calculating exact values in geometry?
5. How do you calculate the area of irregular shapes?

**Tip:** When estimating areas, rounding dimensions to whole numbers can make the calculation faster, but remember it might be slightly off from the actual value!

Jawad’s bedroom has one wall that does not have a door or window. A rectangle with length 4 and 2-thirds yards and width 3 and 1-half yards. A. Complete the statements to estimate the area of the wall. 312 rounds to . 423 rounds to . The area of the wall is about square yards. B. Find the actual area of the wall.

Learn how to estimate and calculate the area of a rectangle with mixed number dimensions. This example involves rounding dimensions and using the area formula. Suitable for students in Grades 4-6.

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