Question

The polygons below are similar, find the value of x.

Answer 1

x = 7

Explanation:

Since, both the polygons are similar, therefore their corresponding sides would be in proportion.

`\therefore \: (30)/(4 + 3x) = (36)/(30) \\ \\ \therefore \: (30)/(4 + 3x) = (6)/(5) \\ \\ 6(4 + 3x) = 30 * 5 \\ \\ 24 + 18x = 150 \\ \\ 18x = 150 - 24 \\ \\ 18x = 126 \\ \\ x = (126)/(18) \\ \\ x = 7`