Can rectangles with a different area have the same perimeter as this rectangle? In this lesson you will learn that rectangles can have the same perimeter but different area by building rectangles and organizing information in a chart. Let’s Review Perimeter tells us the distance that goes around a polygon. Perimeter Let’s Review Width Length A Common Mistake Mixing up area and perimeter. Area Perimeter Core Lesson Perimeter = 10 units Perimeter = 10 units Core Lesson Area = 6 square units Area = 4 square units Core Lesson Rectangle #1 Rectangle #1 #2 #3 Rectangle #2 Rectangle #3 Perimeter 12 units Length 1 unit Width 5 units Area 5 square units 12 units 12 units 4 units 2 units 3 units 3 units 8 square units 9 square units Core Lesson Rectangle #3 Rectangle #1 Rectangle #4 Rectangle #2 Core Lesson Rectangle #1 Perimeter Length Width 16 units 6 units 2 units Area 12 square units #2 16 units 7 units #3 16 units 5 units 3 units 15 square units #4 16 units 4 units 4 units 16 square units 1 unit 7 square units In this lesson, you have learned that rectangles can have the same perimeter but different area by building rectangles and organizing information in a chart. Guided Practice Can rectangles with a different area have the same perimeter as this rectangle? Guided Practice Rectangle Perimeter Length Width Area Guided Practice Rectangle #2 Rectangle #1 Rectangle Perimeter Length Width Area #1 8 units 2 units 2 units 4 square units #2 8 units 3 units 1 unit 3 square units Extension Activities Sally asked her father to build a fence around her backyard. Her father bought 24 feet of fencing. Use square tiles to make the rectangles and then make a chart to find the biggest area for Sally’s backyard. Extension Activities Using square tiles, create as many rectangles as you can with a perimeter of 36 units. Circle the rectangle with the biggest area. Create a chart to show the different areas for the given perimeter. Extension Activities This rectangle has a perimeter of 18 units. Fill in the chart to show the possible areas. Perimeter 18 units 18 units 18 units 18 units Length Width Area Extension Activities Fill in this chart. You can use square tiles to help you visualize the rectangles. Perimeter Length 20 units 7 units 20 units Width 21 square units 1 unit 20 units 20 units 20 units Area 20 square units 6 units 8 units Quick Quiz Here are some rectangles with a perimeter of 18 units. Circle the rectangles with an area greater than 10 square units. Quick Quiz Here are some rectangles with a perimeter of 12 units. Circle the rectangles with an area greater than 7 square units.