Drawing on a Coordinate Plane

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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

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?

What is the width of the rectangle?

What is the area of 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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