## Area of Coordinate Polygons

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#### Study Guide Area of Coordinate Polygons Mathematics, Grade 6

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CALCULATE THE AREA OF BASIC POLYGONS DRAWN ON A COORDINATE PLANE A coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. The vertical axis is marked with positive numbers above the horizontal axis and negative numbers below the horizontal axis. Points are plotted using coordinates which indicate its location: (5, 7) or (-4, 3) or (-1, -6) Polygons can be plotted and their sides measured by using the coordinates. The area of the region within the sides of the polygon is calculated by using the formula: Area = length X width © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
How to calculate the area of a basic polygon drawn on a coordinate plane: Begin by plotting the four points which will be the corners of the polygon. The first number in the coordinate indicates the point’s position relative to the horizontal axis and the second number places the point relative to the vertical axis. o A point located at (6, 3) is 6 spaces to the right of the vertical axis and 3 spaces above the horizontal axis. o A point located at (2, -7) is 2 spaces to the right of the vertical axis and 7 spaces below the horizontal axis Connect the four points (corners). Use the grid to measure the 4 sides of the polygon. Use the formula A = length X width to calculate the area. Examples The coordinates for a polygon are: (2, 6), (6, 6), (2, 10) and (6, 10) o The length is from 2 to 6 along the horizontal axis or 4 units o The width is from 6 to 10 along the vertical axis or 4 units o The polygon is a square that measures 4 by 4 o A = l x h A = 4 x 4 = 16 sq. units The coordinates for a polygon are: (3, 4), (15, 4), (3, 12 ) and (15, 12) o The length is from 3 to 15 along the horizontal axis, 12 units o The width is from 4 to 12 along the vertical axis, 8 units o The polygon is a rectangle that measures 12 by 8 o A = l x h A = 12 x 8 = 96 sq. units © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Try This! Plot the points for each polygon and calculate the area: (-3, 5), (-8, 5), (-3, 10), (-8, 10) _______________________________ (-2, -5), (-8, -5), (-2, -11), (-8, -11) _______________________________ (8, -3), (15, -3), (8, -9), (15, -9) _______________________________ (2, 5), (10, 5), (2, 13), (10, 13) _______________________________ (-2, 3), (-5, 3), (-2, 10), (-5, 10) _______________________________ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.