## What is the relation between perimeter and area?

What is the Difference Between Area and Perimeter?

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

Area refers to the space occupied by a shape or an object or a surface. | Perimeter refers to the measure of the length of the outline or boundary of a shape, an object or a surface. |

**What is the relation between perimeter and area of similar triangles?**

Theorem 61: If two similar triangles have a scale factor of a : b, then the ratio of their areas is a2 : b2.

**How are areas of similar polygons related?**

If two polygons are similar, then the ratio of their areas is equal to the squares of the ratios of their corresponding side lengths.

### What is the relationship between the area and perimeter of a polygonal shape made with congruent square regions?

Ratio of the areas is the square of the scale factor; ratio of perimeters is the scale factor. Just as their corresponding sides are in the same proportion, perimeters and areas of similar polygons have a special relationship. Perimeters: The ratio of the perimeters is the same as the scale factor.

**Is there any relationship between the area and the perimeter of a rectangle explain?**

There is no direct relationship between the perimeter of a rectangle and its area. A rectangle of area 20 square units could have dimensions of 2 x 10 or 4 x 5 or 1 x 20, etc. Each of these rectangles has a different perimeter (24 units, 18 units and 42 units respectively).

**Does perimeter increase with area?**

If you start with a rectilinear shape, when you increase the area, the perimeter will increase.

## How do you find the perimeter of similar polygons?

In summary, polygons are similar when they have the exact same shape and their interior angles are the same and their sides are proportional. Perimeter is the one-dimensional measurement of the distance around a shape. You can find the perimeter of any polygon by adding the length of all the sides.

**How do you find the area of a similar Pentagon?**

The area ratio or change factor is the number you multiply the original area by to find the new area. You can find the area ratio or area change factor by dividing: (new area)/(original area) Experiment with how the area of the New (scaled) shape changes when you change the scale factor.

**How do you find the perimeter of a similar polygon?**