Table of Contents

- 1 Can different shapes have the same area?
- 2 Can two different rectangles have the same area?
- 3 What is area and perimeter?
- 4 What is perimeter example?
- 5 What is the similarities of perimeter and area?
- 6 What is the condition for two circles to be congruent?
- 7 Why do shapes with the same area have different perimeter?
- 8 How to find the area and perimeter of a rectangle?

## Can different shapes have the same area?

Yes, as others have demonstrated, you can have different shapes given the same area, perimeter, and number of segments.

**Can 2 shapes have the same area but different perimeters?**

Two figures can have the same area but different perimeters.

### Can two different rectangles have the same area?

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.

**What is the perimeter formula?**

Perimeter, Area, and Volume

Table 1 . Perimeter Formulas | ||
---|---|---|

Shape | Formula | Variables |

Square | P=4s | s is the length of the side of the square. |

Rectangle | P=2L+2W | L and W are the lengths of the rectangle’s sides (length and width). |

Triangle | a+b+c | a,b , and c are the side lengths. |

## What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

**Do congruent figures have equal area?**

Congruent figures have equal areas.

### What is perimeter example?

The perimeter is the distance around the object. For example, your house has a fenced yard. The perimeter is the length of the fence. If the yard is 50 ft × 50 ft your fence is 200 ft long.

**What is perimeter and area?**

Perimeter is the sum of the length of all the sides of the figure. Area is the total surface that a two dimensional figure covers.

## What is the similarities of perimeter and area?

In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. For example, the area can be used to calculate the size of the carpet to cover the whole floor of a room.

**What is the example of congruent?**

For example, if two triangles are similar, their corresponding angles will be congruent. This means that the angles that are in the same matching position will have the same angle.

### What is the condition for two circles to be congruent?

Two circles are congruent if they have the same size. The size can be measured as the radius, diameter or circumference.

**What is perimeter and area examples?**

What is the Difference Between Area and Perimeter?

Area | Perimeter |
---|---|

Example: Area of a square park is side of the park × side of the park or side2 | Example: The perimeter of the square park is the sum of all the 4 sides of the park or 4 × side. |

## Why do shapes with the same area have different perimeter?

For example, Consider two shapes; a circle and rectangle. Both these shapes have same area but the perimeter of circle is less than that of rectangle. Why? Consider a rectangle that is 100m long by 1cm: its area will be 1 m 2. and its perimeter is about 200m. This is the same as a square 1m x 1m, but that has a perimeter of only 4m.

**Which is an example of a shape with the same area?**

mfb said: There are examples, but they are a bit harder to find. A triangle and a suitable trapezoid are the easiest examples. Thinking about it, two suitable trapezoids are a much easier example of two different shapes with the same area and perimeter. Jun 9, 2020.

### How to find the area and perimeter of a rectangle?

Using tiles to find the area and perimeter of a rectangle Understanding that rectangles can have the same perimeter and different areas or the same area and different perimeters vocabulary session 2.5A same Area, different Perimeter; same Perimeter, different Areacc23

**Can a square have the same perimeter as an ellipsis?**

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).