https://file.aiquickdraw.com/mathbot/file/17274127025198bpjzrok.jpg

Find the area and perimeter of the rectangle above.

To solve this problem for the rectangle shown:

### 1. **Area of the Rectangle:**

The formula for the area \( A \) of a rectangle is:

\[
A = \text{length} \times \text{width}
\]

Given:
- Length \( = 7 \, \text{in.} \)
- Width \( = 3 \, \text{in.} \)

\[
A = 7 \, \text{in.} \times 3 \, \text{in.} = 21 \, \text{square inches}
\]

### 2. **Perimeter of the Rectangle:**

The formula for the perimeter \( P \) of a rectangle is:

\[
P = 2 \times (\text{length} + \text{width})
\]

\[
P = 2 \times (7 \, \text{in.} + 3 \, \text{in.}) = 2 \times 10 \, \text{in.} = 20 \, \text{in.}
\]

### Final Results:
- **Area** = \( 21 \, \text{square inches} \)
- **Perimeter** = \( 20 \, \text{inches} \)

Would you like further details or explanations on any part of this solution?

Here are 5 related questions to deepen your understanding:
1. How would the area change if the dimensions of the rectangle were doubled?
2. What is the diagonal of this rectangle, and how can we calculate it?
3. How do the formulas for area and perimeter change for a square?
4. If the length of the rectangle was reduced by 2 inches, what would the new perimeter be?
5. Can you think of any situations in real life where calculating the area and perimeter of rectangles is useful?

**Tip:** The area formula can be applied to any rectangle, but remember the perimeter depends on both the length and width being counted twice.

Learn to calculate the area and perimeter of a rectangle using dimensions 7 inches by 3 inches. This guide provides formulas and a step-by-step solution to find the area (21 square inches) and perimeter (20 inches). Suitable for elementary students in grades 3 to 5.

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