galacticbossina
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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?

Respuesta :

joseaaronlara

Answer:

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

                                     

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