The side lengths in yards of a triangle and a square are shown in the diagram. The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?

The side lengths in yards of a triangle and a square are shown in the diagram The perimeter of the triangle is equal to the perimeter of the square What is the class=

Respuesta :

The value of x given the perimeter of the square is 6.

What is the value of x?

The first step is to determine the perimeter of the square.

Perimeter of the square = 4 x length

4 x 2.5x = 10x yards

The perimeter of the triangle is equal to the sum of the three side lengths

2x + 4x - 2 + 2x + 14 = 10x

Combine similar terms

14 - 2 = 10x - 2x - 4x - 2x

Add similar terms

12 = 2x

Divide both sies by 2

x = 6

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