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Tripling the side lengths of a pentagon will result in tripling its perimeter. The perimeter is the sum of all the side lengths, so if each side is multiplied by three, the total perimeter also increases by the same factor. Therefore, if the original perimeter is (P), the new perimeter becomes (3P).

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How does Doubling the side lengths of a figure affect its perimeter?

The perimeter is doubled.


How does tripling the sides lengths of a triangle affect the area?

Tripling the side lengths of a triangle increases its area by a factor of nine. This is because the area of a triangle is proportional to the square of its side lengths. Therefore, if each side length is multiplied by three, the area becomes (3^2 = 9) times larger.


Does the choice of the base affect the perimeter of a triangle?

Yes, the choice of the base can affect the perimeter of a triangle, but only if it changes the lengths of the other sides. When you select a different base while keeping the area constant, the lengths of the other sides may vary, potentially altering the perimeter. However, if the triangle's shape remains the same and only the orientation of the base is changed, the perimeter will remain unchanged.


How does doubling the side lenghts of aright triangle affect its perimeter?

Doubling the side lengths of a right triangle results in a new triangle with each side being twice as long. Since the perimeter is the sum of all the side lengths, doubling each side effectively doubles the perimeter as well. Therefore, if the original perimeter is ( P ), the new perimeter will be ( 2P ).


Why does tripling the side lengths of a right triangle affect its area?

Tripling the side lengths of a right triangle increases its area by a factor of nine. The area of a triangle is calculated using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). When the base and height are both tripled, the new area becomes ( \frac{1}{2} \times (3 \times \text{base}) \times (3 \times \text{height}) = 9 \times \text{Area} ). Thus, the area grows by the square of the scale factor applied to the side lengths.

Related Questions

How does tripling the lengths of a triangle affect its perimeter?

It triples the perimeter.


How does tripling the side lengths of a triangle affect it's perimeter?

The perimeter changes and doubles as well.


How does Doubling the side lengths of a figure affect its perimeter?

The perimeter is doubled.


How does tripling the sides lengths of a triangle affect the area?

Tripling the side lengths of a triangle increases its area by a factor of nine. This is because the area of a triangle is proportional to the square of its side lengths. Therefore, if each side length is multiplied by three, the area becomes (3^2 = 9) times larger.


How does doubling the side lengths of a rectangle affect its perimeter?

Both the side lengths and the perimeter are linear measurements, therefore they are proportional. In other words, twice the side length results in twice the perimeter.


How does doubling the side lengths of a triangle affect its perimeter?

If the length of each side is doubled, then the perimeter is also doubled.


Does the choice of the base affect the perimeter of a triangle?

Yes, the choice of the base can affect the perimeter of a triangle, but only if it changes the lengths of the other sides. When you select a different base while keeping the area constant, the lengths of the other sides may vary, potentially altering the perimeter. However, if the triangle's shape remains the same and only the orientation of the base is changed, the perimeter will remain unchanged.


How does doubling the side lenghts of aright triangle affect its perimeter?

Doubling the side lengths of a right triangle results in a new triangle with each side being twice as long. Since the perimeter is the sum of all the side lengths, doubling each side effectively doubles the perimeter as well. Therefore, if the original perimeter is ( P ), the new perimeter will be ( 2P ).


Why does tripling the side lengths of a right triangle affect its area?

Tripling the side lengths of a right triangle increases its area by a factor of nine. The area of a triangle is calculated using the formula ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). When the base and height are both tripled, the new area becomes ( \frac{1}{2} \times (3 \times \text{base}) \times (3 \times \text{height}) = 9 \times \text{Area} ). Thus, the area grows by the square of the scale factor applied to the side lengths.


Does perimeter affect area?

No it does not


How does a glacier affect landscapes outside of its active perimeter?

Melt water


How can doubling the width of a rectangular rug affect the perimeter and area?

Doubling the width of a rectangular rug will affect the perimeter because the total length and width will be doubled. The area will be twice the length times the width.