One side of a square measures x + 3 inches. One side of an equilateral triangle measures x + 7 inches. If the perimeters of the two figures are equal, what is the value of x?

The answer to your question is x = 9

Step-by-step explanation:

Data

Side of a square = s = x + 3

Side of a triangle = s = x + 7

Perimeter of a square = 4s

Perimeter of a triangle = 3s

Process

1. - Consider both perimeters are equal

Perimeter of a square = Perimeter of a triangle

2 - Substitution

4 (x + 3) = 3 (x + 7)

3. - Expand

4x + 12 = 3x + 21

4. - Solve for x

4x - 3x = 21 - 12

x = 9