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.

Yes! They have both equal area and equal perimeter. The area and perimeter of two shapes can be the same or different. We need to calculate the area of each shape.

We’ve been looking at two rectangles with the same area, and talking about the perimeter of those shapes. We found out that rectangles that have the same area don’t necessarily have the same perimeter.

“Can 2 different shapes have the same perimeter and area? — Yes. Take for example a square and an ellipsis with the same perimeter. The family of ellipses with the same perimeter can have any area between that of a circle to zero (if it is extremely “thin” i.e. if its eccentricity is large).”

That means, any square with a side length less than 4, will have a larger perimeter than area. Technically: no, because area and perimeter are measured with different units, and so they can’t be just compared.

To get the perimeter from the area for a square, multiply the square root of the area times 4 . Perimeter is always measured in linear units, which is derived from the area’s square units.

What are area and perimeter? New to teaching math in third grade? (Or maybe you are a parent looking for homework help?) Start here: The perimeter is the distance around the outside of a shape. The area is the amount of units needed to fill a shape.

3.MD.D.8. Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.