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Tripling the side lengths of a rectangle will triple its perimeter. The perimeter of a rectangle is calculated as ( P = 2(length + width) ). If both the length and width are multiplied by three, the new perimeter becomes ( P' = 2(3 \times length + 3 \times width) = 3 \times P ). Therefore, the perimeter increases by a factor of three.
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How does tripling the side lengths of a pentagon affect its perimeter?
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).
How does tripling a rectangle affect the area and perimeter?
Tripling a rectangle's dimensions (length and width) results in the area increasing by a factor of nine, since area is calculated by multiplying length by width (3L × 3W = 9LW). However, the perimeter increases by a factor of three, as perimeter is calculated by adding up all sides (2(3L + 3W) = 6L + 6W = 3 × 2(L + W)). Thus, while the area grows exponentially, the perimeter grows linearly.
Why does the perimeter of a rectangle change?
The perimeter of a rectangle changes when the lengths of its sides alter. Since the perimeter is calculated by adding together the lengths of all four sides (P = 2(length + width)), any increase or decrease in the length or width will directly affect the total perimeter. For instance, if one side is lengthened or shortened, the overall perimeter increases or decreases accordingly. Thus, any modification to the dimensions of the rectangle will result in a change in its perimeter.
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 tripling the lengths of a triangle affect its perimeter?
It triples the perimeter.
How does tripling the side lengths of a pentagon affect its perimeter?
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).
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 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 tripling a rectangle affect the area and perimeter?
Tripling a rectangle's dimensions (length and width) results in the area increasing by a factor of nine, since area is calculated by multiplying length by width (3L × 3W = 9LW). However, the perimeter increases by a factor of three, as perimeter is calculated by adding up all sides (2(3L + 3W) = 6L + 6W = 3 × 2(L + W)). Thus, while the area grows exponentially, the perimeter grows linearly.
Why does the perimeter of a rectangle change?
The perimeter of a rectangle changes when the lengths of its sides alter. Since the perimeter is calculated by adding together the lengths of all four sides (P = 2(length + width)), any increase or decrease in the length or width will directly affect the total perimeter. For instance, if one side is lengthened or shortened, the overall perimeter increases or decreases accordingly. Thus, any modification to the dimensions of the rectangle will result in a change in its perimeter.
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 each dimension of a rectangle that is not a square affect the perimeter and the area of that rectangle?
quadruples it
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.
How does doubling the side lengths of a triangle affect a perimeter?
Doubling the side lengths of a triangle results in a perimeter that is also doubled. The perimeter of a triangle is the sum of its three side lengths, so if each side length is multiplied by two, the total perimeter will similarly be multiplied by two. For example, if a triangle has side lengths of 3, 4, and 5, its original perimeter is 12, and if the side lengths are doubled to 6, 8, and 10, the new perimeter will be 24.
Why does doubling the side lengths of a right triangle affect it perimeter?
Doubling the side lengths of a right triangle increases each side by a factor of two. Since the perimeter is the sum of all three sides, the new perimeter becomes twice the original perimeter. Therefore, if you double the side lengths, the perimeter also doubles. This change maintains the triangle's shape but scales it proportionally.
