Question

perimeter the perimeter of stephanies triangle is half the perimeter of juans triangle. juans triangle is shown. write a numerical expression to describe the perimeter of stephanies triangle.

Explanation:

Step1: Calculate Juan's triangle perimeter

Perimeter of a triangle is sum of side - lengths. For Juan's triangle with side - lengths 5 ft, 12 ft, and 8 ft, the perimeter $P_J$ is $P_J=5 + 12+8=25$ ft.

Step2: Find Stephanie's triangle perimeter

Since Stephanie's triangle perimeter $P_S$ is twice Juan's triangle perimeter, $P_S = 2\times P_J$. Substituting $P_J = 25$ ft, we get $P_S=2\times25 = 50$ ft.
The numerical expression to describe the perimeter of Stephanie's triangle in terms of Juan's triangle perimeter $x$ (where $x = 25$) is $2x$.

Answer:

The perimeter of Stephanie's triangle is 50 ft and the numerical expression is $2x$ (where $x$ is the perimeter of Juan's triangle).