Question

A triangular object has a perimeter of 87 m. What is the new perimeter if a linear scale factor of 4:1 is applied to it?

Please answer fully and step by step so that I can understand. Thank you so much to whoever answers this!

Answer 1

21.75

Explanation:

Linear factor means the ratio between the current shape to the transfiormed one. 4:1 means that the current shape is four times larger than the transformed one, meaning that the way to find the transformed shape, we must divide the current shape of 87 by 4, giving us 21.75.

Answer 2

Step 1: Calculate the length of each side of the original triangle.

Since the perimeter of the triangle is 87 m, we can use the formula for the perimeter of a triangle to calculate the length of each side:

Perimeter = a + b + c

87 = a + b + c

Step 2: Calculate the new perimeter using the linear scale factor of 4:1.

The linear scale factor of 4:1 means that each side of the triangle will be multiplied by 4. Therefore, the new perimeter will be:

New Perimeter = 4a + 4b + 4c

Step 3: Substitute the values for a, b, and c from Step 1 into the equation from Step 2.

New Perimeter = 4(a + b + c)

New Perimeter = 4(87)

New Perimeter = 348 m