Question

The square and the equilateral triangle have the same perimeter. Find the lengthof the sides of the triangle3x

Answer 1

Let's recall that the formula of the perimeter of an equilateral triangle is:

Side + Side + Side

3Side

3 * 3x = 9x

And now, let's calculate the perimeter of the square:

Side + Side + Side + Side

4Side

4 (x + 5)

4x + 20

Let's solve for x, as follows:

9x = 4x + 20

9x - 4x = 20

5x = 20

Dividing by 5:

5x/5 = 20/5

x = 4

Ash, now you can easily find the length of the sides of the square and triangle.