Can two different rectangles have the same perimeter?

Objective: Students will discover that multiple rectangles can have the same perimeter, yet their area can be different.

How can two different shapes 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).”

Can two rectangles with the same perimeter have the same area?

The perimeter will always be even, because the length is multiplied by 2, making it even, and is added to the width which has been multiplied by 2, also making it even. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.

How can two different rectangles both have a perimeter of 24?

Textbook solution The perimeter of a figure is the sum of all the sides. There can be many rectangles made with perimeter equal to 24. For example, one rectangle of sides 5cm and 7cm have perimeter 24, similarly, a rectangle of sides 4cm and 8cm have perimeter 24.

What rectangles have the same perimeter?

Rectangles that measure 8 × 2 and 5 × 5 have the same perimeter (20) but different areas. An increase in area is connected to an increase in the minimum perimeter. The quadrilateral with the smallest perimeter for a given area is a square.

What is the same as perimeter of a rectangle?

The units of the perimeter of a rectangle are the same as its length which is usually given in meters, centimeters, inches, or yards. The perimeter is equal to the boundary of the rectangle which can be calculated with the formula: Perimeter = Length + Length + Width + Width = 2(Length + Width).

How many rectangles can be drawn with 24 cm as perimeter given that the sides are positive integer in CM?

Since there is no specific limit to the length of sides , There can be infinite number of rectangles with perimeter 24 cm.

Are there any rectangles with the same perimeter explain your answer?

rectangles that have the same area don’t necessarily have the same perimeter.