https://file.aiquickdraw.com/mathbot/file/172617196465969y47g0g.jpg

I can help you solve the problem based on the image of the rectangular grid you uploaded. Let's break it down step by step:

### Problem Summary:
- The task is to find the **dimensions (length of the shorter and longer sides)** and the **area** of the rectangular dog walk shown in the diagram.
- Each small square on the grid has a side length of 1 yard, and the area of each small square is \(1 \, \text{yd}^2\).

### Step 1: Counting the squares
From the image:
- The **shorter side** of the rectangle spans across **3 squares**.
- The **longer side** spans across **7 squares**.

### Step 2: Calculate the dimensions
Since each square is 1 yard by 1 yard:
- The shorter side is \( 3 \, \text{yd} \).
- The longer side is \( 7 \, \text{yd} \).

### Step 3: Calculate the area
The area of a rectangle is given by:
\[
\text{Area} = \text{length} \times \text{width}
\]
Substitute the values:
\[
\text{Area} = 7 \, \text{yd} \times 3 \, \text{yd} = 21 \, \text{yd}^2
\]

### Final Answers:
- **Length of the shorter side**: 3 yards
- **Length of the longer side**: 7 yards
- **Area of the dog walk**: 21 square yards

Let me know if you'd like further details, and feel free to ask any questions! Here are 5 follow-up questions:

1. How do you calculate the perimeter of the dog walk?
2. What would happen to the area if the length of the longer side were doubled?
3. How would you find the area if the grid squares had a different size, like 2 yards per side?
4. Can you calculate the diagonal of the rectangle using the Pythagorean theorem?
5. What would the area be if both dimensions were increased by 2 yards?

**Tip**: Always double-check the dimensions of each side by counting the grid units carefully.

Finding the Area of a Rectangle: Callie is fencing off an area for a dog walk. Figure A is a diagram representing the fenced area. How many yards is the length of the shorter side? How many yards is the length of the longer side? What is the area of the dog walk?

Learn how to calculate the area of a rectangle on a grid with a step-by-step tutorial. This problem covers essential geometry concepts and includes counting grid squares to determine dimensions and applying the area formula of length times width.

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