The upper-left coordinates on a rectangle are \[(-8,8)\], and the upper-right coordinates are \[(-3,8)\]. The rectangle has an area of \[15\] square units.

**Draw the rectangle on the coordinate plane below.**

\[x\]\[y\]

8642-2-4-6-8

8642-2-4-6-8


Let's break down the problem to draw the rectangle on the coordinate plane.

### Step 1: Identify the Coordinates
- The upper-left corner of the rectangle is at \((-8, 8)\).
- The upper-right corner is at \((-3, 8)\).

### Step 2: Determine the Length of the Top Side
- The top side of the rectangle is the horizontal line between \((-8, 8)\) and \((-3, 8)\).
- The length of this side is found by calculating the distance between the \(x\)-coordinates:
  \[
  \text{Length} = |-3 - (-8)| = |-3 + 8| = |5| = 5 \text{ units}
  \]

### Step 3: Calculate the Height of the Rectangle
- The area of the rectangle is given as 15 square units.
- The area of a rectangle is given by:
  \[
  \text{Area} = \text{Length} \times \text{Height}
  \]
  Substituting the known values:
  \[
  15 = 5 \times \text{Height}
  \]
  Solving for the height:
  \[
  \text{Height} = \frac{15}{5} = 3 \text{ units}
  \]

### Step 4: Determine the Bottom Coordinates
- Since the rectangle's height is 3 units, subtract this height from the \(y\)-coordinate of the upper corners (which is 8):
  - The bottom-left corner will be \((-8, 5)\).
  - The bottom-right corner will be \((-3, 5)\).

### Step 5: Draw the Rectangle
We can now plot the four corners:
1. Upper-left: \((-8, 8)\)
2. Upper-right: \((-3, 8)\)
3. Bottom-left: \((-8, 5)\)
4. Bottom-right: \((-3, 5)\)

These coordinates will form a rectangle.

#### Coordinate Plot
The rectangle should be plotted with the following points connected by straight lines:

- From \((-8, 8)\) to \((-3, 8)\)
- From \((-3, 8)\) to \((-3, 5)\)
- From \((-3, 5)\) to \((-8, 5)\)
- From \((-8, 5)\) back to \((-8, 8)\)

Would you like me to provide more detailed steps or a visual of this rectangle on a coordinate plane?

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Here are 5 related questions:
1. How do you calculate the distance between two points on a coordinate plane?
2. What is the formula for the area of a rectangle?
3. How would the rectangle change if the area were 20 square units instead of 15?
4. Can you find the coordinates of the center of this rectangle?
5. How would you find the perimeter of the rectangle based on its coordinates?

**Tip:** When dealing with coordinates, always pay attention to whether you're dealing with horizontal or vertical distances, as these correspond to differences in \(x\) and \(y\) values, respectively.

Learn how to draw a rectangle on a coordinate plane with given vertices at (-8, 8) and (-3, 8), and an area of 15 square units. This problem involves calculating distances between points, determining the area of a rectangle, and plotting coordinates on a graph. Suitable for students in Grades 6-8.

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