The new perimeter of n is 20 and the new area of n is 12.
To find the new perimeter of n, we need to apply the scale factor of 2 to the perimeter of m. The perimeter of m is given as 10, so the new perimeter of n will be 2 times 10, which is 20.
To find the new area of n, we need to apply the scale factor of 2 to the area of m. The area of m is given as 6, so the new area of n will be 2 times 6, which is 12.
When working with scale factors in geometry, it is important to understand the relationship between the dimensions or measures on a model or drawing and the actual dimensions or measures of the real object. The scale factor is the ratio that compares the scale measurement to the actual measurement. Whether you are working with perimeter, area, or volume, applying the scale factor correctly is key to finding accurate scaled or actual dimensions.
The impact of the scale factor on perimeter and area is different. For perimeter, which is a linear measure, multiply the original perimeter by the scale factor to get the new perimeter. In the case of area, which is a two-dimensional measure, you need to square the scale factor before multiplying it by the original area to find the new area.