Can other rectangles have the same area as this one?

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Presentation transcript:

Can other rectangles have the same area as this one?

In this lesson you will learn that rectangles can have the same area but different perimeter by building rectangles and organizing the information into a chart.

Let’s Review Perimeter tells us the distance that goes around the polygon. Perimeter

Length Width

A Common Mistake Perimeter Area Mixing up area and perimeter.

Core Lesson Area = 9 square units Area = 9 square units

Perimeter = 20 units Perimeter = 12 units

Rectangle #1 Rectangle #2 Rectangle #3 RectanglePerimeterLengthWidthArea #1 #2 #3 12 square units 12 square units 2 units 12 square units 4 units 1 unit 6 units 3 units 12 units 16 units 14 units 26 units

Rectangle #1 Rectangle #2 Rectangle #3

Core Lesson RectanglePerimeterLengthWidthArea #1 #2 #3 16 square units8 units2 units20 units 16 units4 units 4 units 16 square units 34 units1 units16 units16 square units

In this lesson, you have learned that rectangles can have the same area but different perimeter by building rectangles and organizing the information into a chart.

Guided Practice Can rectangles with a different perimeter have the same area as this rectangle?

Rectangle #1 Rectangle #2 PerimeterLengthWidthArea 4 square units2 units 8 units 10 units4 units1 units4 square units #1 #2 Rectangle

Extension Activities Sally asked her father to build a fence around her backyard. Sally wanted the backyard to be 36 square feet. In order to have the biggest backyard, Sally’s father would need to buy more fencing. Create a chart to show how many polygons Sally’s backyard could be with 36 square feet. Then circle the rectangle that would be the biggest (which one has the biggest perimeter)

Extension Activities This rectangle has an area of 8 square units. Fill in the chart to show the possible perimeters. AreaLengthWidthPerimeter 8 square units

Extension Activities Fill in this chart. You can use square tiles to help you visualize the rectangles. PerimeterLengthWidthArea 20 units7 units21 square units 20 units1 unit 20 units20 square units 20 units6 units 20 units8 units

Quick Quiz Here are some rectangles with an area of 24 square units. Circle the rectangles with a perimeter greater than 24 units.

Which rectangle has a larger perimeter? How much larger is that perimeter? Rectangle #1 Rectangle #2