What happens to the area of a polygon if the dimensions are tripled?

What happens to the area of a polygon if the dimensions are tripled?

Explanation: . Doubling the dimensions makes the surface area 4 times the original surface area. Tripling the dimensions makes the surface area 9 times the original surface area.

How does the surface area of a square change when the side length is tripled?

Area become four times of Area when length of side is doubled. Area become 9 times when side of square is tripled.

What happens to the perimeter when the scale factor is tripled?

If the scale factor is three, then the perimeter of the new object will be three times the original perimeter. The area of a scaled object will be equal to the scale factor squared.

What happens to the area of a triangle when the sides are tripled?

If each side of the triangles is tripled, the area will becomes 9 times.

What happens to volume when dimensions are doubled?

If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

What happens to a rectangular prism when the length is doubled?

The formula for calculating the volume of a rectangular prism is lwh, If its length will be doubled, and height will be reduced to half, then its volume v’ will be (2l)(w)(1/2h) = 2/2lwh = v.

What happens to the area of square if its side is halved?

If the side is halved the area of the square will be one fourth.

What happens to the area of square if its side is doubled?

Since the side of a square is doubled. ∴ Area of the square becomes 4 times .

What happens to the perimeter of a rectangle when the length and width are tripled?

i.e. perimeter is doubled.

What happens to the perimeter?

Perimeter is a measure of the distance along the outside edge of the figure. We can find a figure’s perimeter by combining its outside dimensions. For example, the perimeter of a rectangle is found by doubling the length, doubling the width, and then adding the two together.

When all three sides of a triangle are trebled in length the area is increased by a factor of?

According to the condition, if the measure of the sides are increased by three times, then the area will be = √3/4 (3a)². = 800 % or 8 times.

What happens to the area of a triangle when the height is doubled and the base remains the same?

As base and height are becoming double the new area is 4 times the original area. When the length of the sides of a triangle double, the area becomes quadruple.

Which is the smallest number of sides a polygon can have?

Polygons can be classified in a number of ways relating to: Most of the time, polygons are classified based on the number of their sides. According to Euclidean geometry, the smallest possible number of sides a polygon can have is 3. It takes at least 3 straight lines to enclose some area of space.

What makes a polygon a regular or irregular polygon?

A regular polygon is one in which all sides are equal length and all angles are of equal magnitude. An irregular polygon is one in which the sides and angles are unequal measures. For example, a square is a regular quadrilateral. The angles and sides of a square are all equal.

How are polygons classified according to their symmetries?

Polygons are also classified according to their symmetries. A regular polygon is one in which all sides are equal length and all angles are of equal magnitude. An irregular polygon is one in which the sides and angles are unequal measures. For example, a square is a regular quadrilateral. The angles and sides of a square are all equal.

What are the properties of a polygon shape?

The word “polygon” comes from two Greek words meaning “many angled.” All polygons have 3 essential properties: 1. They are 2-dimensional 2. They have an interior and exterior (they enclose some space) 3. They are made out of straight lines All polygons can be broken down into parts.