The perimeter of an equilateral triangle is 11 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. find the side of the triangle.

13 inches

Step-by-step explanation:

Let P(t) and P(s) be the perimeters of the equilateral triangle and square respectively. Similarly, t and s be the side lengths of equilateral triangle and square respectively.

According to the first condition :

(Perimeter of an equilateral triangle is 11 inches more than the perimeter of a square)

According to the second condition :

(The side of the triangle is 6 inches longer than the side of the square)

From equations (1) & (2)

3(s + 6) = 4s + 11

3s + 18 = 4s + 11

3s - 4s = 11 - 18

-s = - 7

s = 7 inches

Thus the side of the triangle is 13 inches long.