Answer:
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.
