Rectangles: Same Perimeter, Different Area

This video tutorial explains how rectangles can have the same perimeter but different areas. It begins by defining perimeter and area, highlighting common misconceptions. The tutorial then compares shapes with identical perimeters but varying areas, using examples of rectangles with perimeters of 12 and 16 units. Charts are used to organize and compare the measurements of these rectangles, demonstrating that different shapes can have the same perimeter but different areas.

What is the main difference between perimeter and area?

• Perimeter is the distance around a shape, and area is the space inside it.

• Perimeter is the space inside a shape, and area is the distance around it.

• Perimeter is measured in square units, and area is measured in linear units.

• Perimeter and area are the same.

If two rectangles have the same perimeter, what can be said about their areas?

• They can have different areas.

• They must have the same area.

• They cannot be rectangles.

• They must have different areas.

Which of the following rectangles has an area of 9 square units with a perimeter of 12 units?

• Length: 5 units, Width: 1 unit

• Length: 4 units, Width: 2 units

• Length: 6 units, Width: 0 units

• Length: 3 units, Width: 3 units

How does organizing information in a chart help when comparing rectangles?

• It makes it easier to see which rectangle has the largest perimeter.

• It helps in visualizing the differences in area for rectangles with the same perimeter.

• It ensures all rectangles have the same dimensions.

• It eliminates the need to calculate area and perimeter.

Which rectangle has an area of 16 square units with a perimeter of 16 units?

• Length: 5 units, Width: 3 units

• Length: 4 units, Width: 4 units

• Length: 7 units, Width: 1 unit

• Length: 6 units, Width: 2 units