1. Lesson 9: Determining Area and PerimeterofPolygons on the Coordinate
Plane
Date: 5/26/15
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9
Lesson 9: Determining Area and Perimeter of Polygons on the
Coordinate Plane
Classwork
Example 1
Jasjeet has made a scaledrawingof a vegetable garden she plans to make in her backyard. She needs to determine the
perimeter and area to know how much fencing and dirtto purchase. Determine both the perimeter and area.
Example 2
Calculatethe area of the polygon usingtwo different methods. Write two expressions to represent the two methods
and compare the structureof the expressions.

2. Lesson 9: Determining Area and PerimeterofPolygons on the Coordinate
Plane
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9
Exercises
1. Determine the area of the followingshapes.
a.
b.

3. Lesson 9: Determining Area and PerimeterofPolygons on the Coordinate
Plane
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© 2014 Common Core, Inc. Some rightsreserved. commoncore.org
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9
2. Determine the area and perimeter of the following shapes.
a.
b.

4. Lesson 9: Determining Area and PerimeterofPolygons on the Coordinate
Plane
Date: 5/26/15
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Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9
Problem Set
1. Determine the area of the polygon.
2. Determine the area and perimeter of the polygon.

5. Lesson 9: Determining Area and PerimeterofPolygons on the Coordinate
Plane
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9
3. Determine the area of the polygon. Then write an expression that could be used to determine the area.
4. If the length of each squarewas worth 2 instead of 1, how would the area in Problem3 change? How would your
expression changeto represent this area?
5. Determine the area of the polygon. Then write an expression that represents the area.

6. Lesson 9: Determining Area and PerimeterofPolygons on the Coordinate
Plane
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NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9NYS COMMON CORE MATHEMATICS CURRICULUM 6•5Lesson 9
6. Describeanother method you could use to find the area of the polygon in Problem 5. Then state how the
expression for the area would be different than the expression you wrote.
7. Write one of the letters from your name usingrectangles on the coordinateplane. Then determine the area and
perimeter. (For help see Exercise2 (b). This irregular polygon looks sortof likea T.)