The perimeter of the square and the equilateral triangle shown are the same. Write an equation to represent the solution, and so lve for x. Then find the perimeter for each shape
1 answer:
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)
<u>Set them equal:</u>
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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