Answer:
[tex]x = 12\ m,\ perimeter = 63\ m[/tex]
Step-by-step explanation:
Step 1: Determine x
[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]
[tex](15\ m*8\ m) = (10\ m * x)[/tex]
[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]
[tex]12\ m = x[/tex]
Step 2: Determine the perimeter of the figure
[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]
[tex]63\ m[/tex]
Answer: [tex]x = 12\ m,\ perimeter = 63\ m[/tex]
