# Drawing on a Coordinate Plane

## Overview

A coordinate plane can help you examine the different properties of a shape. For

example…

The rectangle **ABCD** has vertices at **A(-6, 0)**, **B(1, 0)**, **C(1, 3)** and **D(-6, 3)**. What is

the area of the rectangle?

**Step 1:** Draw the Shape

Use the coordinates to graph the rectangle on the coordinate plane.

**Step 2:** Determine the area

The formula for finding the area of a rectangle is

a = (length)(width)

We can determine the length and width by counting the units on the graph.

a = (7)(3)

**area = 21 units**

**Step 3:** Check your answer

You can check your answer by counting the units within the rectangle.

area = 21 units ✓

We can use the same graph to find the perimeter of the rectangle.

**perimeter = 2(length + width)**

p = **2**(7 + 3)

p** = 20**

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Use the coordinate plane to answer question.

Draw a rectangle with vertices at **A (0, 0)**, **B (4, 0)**, **C(4, 4)** and **D (0, 4)**

What is the **length** of the rectangle?

Count the units between point **A** and point **B**.

What is the **width** of the rectangle?

Count the units between point** A** and point **D**.

What is the **area** of the rectangle?

Count the units inside the rectangle.

Use the coordinate plane to answer question.

Draw a rectangle with vertices at **A (-8, 4)**, **B (0, 4)**, **C(0, 8)** and **D (-8, 8)**.

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