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).