Question

The square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?

Help please

Answer 1

x = 3

Explanation:

Side lenght of square = (x + 3)

Side length of equilateral triangle = (3x - 1)

It is Given that:

Perimeter of square = Perimeter of equilateral triangle

4 times side length of square = 3 times side length of equilateral triangle.

`\therefore \: 4(x + 3) = 3(3x - 1) \\ \\ \therefore \: 4x + 12 = 9x - 3 \\ \\ \therefore \:12 + 3 = 9x - 4x \\ \\ \therefore \:15 = 5x \\ \\ \therefore \:x = (15)/(5) \\ \\ \huge \red{ \boxed{\therefore \:x = 3}}`