The perimeter of a convex pentagon is 15 feet. What is the effect on its perimeter if each side is doubled?

Its perimeter is also doubled.

It's perimeter will then be doubled to 30 feet

When you uniformly scale the linear measurements of a shape, all linear measurements scale by the same factor.

In other words, if you double all the sides, the perimeter gets doubled. That's all the detail you need to know the perimeter would be twice as big (30 ft.)

Here are the rules for the scaling of similar shapes. Note these rules can be extended to 3-D solids, so let me include that for completeness.

When the linear measurements are scaled by a factor of s:

- all the linear (1D) measurements get scaled by s.

- all the area (2D) measurements get scaled by s²

- all the volume (3D) measurements get scaled by s^3.

So if you took a cube and doubled all the sides, you'd find all lengths (diagonals, etc.) were doubled.

You find all areas (such as the area of each face, or the total surface area) would get multiplied by 2² = 4.

And all volumes (such as the total volume of the cube) would get multiplied by 2^3 = 8

Answer:

30 ft.

The perimeter of a convex pentagon is 15 feet.

Its perimeter is doubled if each side is also doubled.