The perimeter of the square and the equilateral triangle shown are the same. Write an equation to represent the solution, and solve for x. Then find the perimeter for each shape

Equation: 4(2.5x-3)=3(2x-2) // x=1.5 // Perimeter: 3

Step-by-step explanation:

Perimeter of square: 4s

Perimeter of triangle: 3s

Square: 4(2.5x-3)

Triangle: 3(2x-2)

Set them equal:

4(2.5x-3)=3(2x-2)

Distribute

10x-12=6x-6

Move variables to one side and numbers to the other.

Subtract 6x from both sides.

10x-6x-12=6x-6x-6

4x-12=-6

Add 12 to both sides.

4x-12+12=-6+12

4x=6

Divide both sides by 4.

x=1.5

Plug that into one of the original expressions to find perimeter.

3(2x-2)

3[2(1.5)-2]

3[3-2]

3(1)

3

The perimeter is 3 units.

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