Rectangles: Same Area, Different Perimeter

The lesson explains that rectangles can have the same area but different perimeters. It reviews the concepts of area and perimeter, highlighting common mistakes in distinguishing them. Through examples, it shows how different shapes can have the same area but varying perimeters. The importance of knowing the perimeter is discussed, especially in practical scenarios like running a race. The lesson includes calculations of perimeters for rectangles with areas of 12 and 16 square units, organizing the information into a chart for comparison.

What is the main difference between area and perimeter?

• Area and perimeter both measure the distance around a shape.

• Area measures the space inside a shape, while perimeter measures the distance around it.

• Area measures the distance around a shape, while perimeter measures the space inside it.

• Area and perimeter both measure the space inside a shape.

Why might someone prefer a rectangle with a shorter perimeter?

• It is easier to calculate the area.

• It requires less material to build.

• It allows for a faster race around the track.

• It has a larger area.

How many hash marks are there on the perimeter of the long rectangle with an area of 9 square units?

• 16 hash marks

• 12 hash marks

• 20 hash marks

• 9 hash marks

What is the perimeter of rectangle number 2 with an area of 12 square units?

• 26 units

• 14 units

• 12 units

• 16 units

Which rectangle has a perimeter of 34 units?

• Rectangle number 1 with an area of 16 square units

• Rectangle number 2 with an area of 16 square units

• Rectangle number 3 with an area of 16 square units

• Rectangle number 1 with an area of 12 square units