To find the area of the rectangle, we can use the formula for the area of a rectangle:

$\text{Area} = \text{Length} \times \text{Width}$

From the given image, we can observe that the coordinates of the rectangle are:

• Bottom-left corner: $(0, 0)$
• Bottom-right corner: $(7, 0)$
• Top-left corner: $(0, 3)$
• Top-right corner: $(7, 3)$

Step 1: Determine the Length

The length of the rectangle is the distance between the points $(0, 0)$ and $(7, 0)$ on the x-axis. So, the length is:

$\text{Length} = 7 - 0 = 7 \, \text{units}$

Step 2: Determine the Width

The width of the rectangle is the distance between the points $(0, 0)$ and $(0, 3)$ on the y-axis. So, the width is:

$\text{Width} = 3 - 0 = 3 \, \text{units}$

Step 3: Calculate the Area

Now, using the formula:

$\text{Area} = 7 \times 3 = 21 \, \text{square units}$

Thus, the area of the rectangle is 21 square units.

Would you like more details on any part of this solution or have any further questions?

Here are five related questions:

1. How do you calculate the perimeter of this rectangle?
2. What if the dimensions were in different units? How would you convert them?
3. How would the formula change if the shape was a parallelogram instead of a rectangle?
4. What is the significance of the coordinates in determining the area?
5. How would you find the diagonal length of the rectangle?

Tip: Always make sure to correctly identify the dimensions (length and width) from given coordinates when solving for the area of shapes on a graph.