Exploring Rectangles: Same Perimeter, Different Areas

This video tutorial explains how rectangles can have the same perimeter but different areas. It begins by defining perimeter and area, highlighting common misconceptions. Through examples, it demonstrates that rectangles with identical perimeters can vary in area due to their dimensions. The lesson uses charts to organize and compare these differences, reinforcing the concept that shape affects area despite a constant perimeter.

What is the main concept discussed in this lesson?

• Rectangles can have the same perimeter but different areas.

• Rectangles cannot have the same perimeter.

• All rectangles have the same perimeter and area.

• Rectangles can have the same area but different perimeters.

Tags

CCSS.3.MD.D.8

What does the perimeter of a shape represent?

• The space inside the shape.

• The distance around the shape.

• The length of the shape.

• The width of the shape.

What is a common mistake when discussing area and perimeter?

• Confusing the area and perimeter.

• Confusing the units of measurement.

• Confusing the length and width.

• Confusing the shapes.

How many square units is the area of the rectangle on the left?

• 10 square units

• 4 square units

• 5 square units

• 6 square units

Tags

CCSS.3.MD.C.6

What is the perimeter of the rectangle on the right?

• 6 units

• 8 units

• 10 units

• 12 units

Tags

CCSS.4.MD.A.3

What is the area of rectangle number one with a perimeter of 12 units?

• 5 square units

• 8 square units

• 9 square units

• 12 square units

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the length of rectangle number two with a perimeter of 12 units?

• 5 units

• 4 units

• 6 units

• 3 units

Tags

CCSS.4.MD.A.3

What is the area of rectangle number three with a perimeter of 12 units?

• 5 square units

• 9 square units

• 12 square units

• 8 square units

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the width of rectangle number one with a perimeter of 16 units?

• 3 units

• 2 units

• 4 units

• 1 unit

Tags

CCSS.4.MD.A.3

What is the area of rectangle number four with a perimeter of 16 units?

• 15 square units

• 12 square units

• 7 square units

• 16 square units

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3