Answer: x = 9/5 or [tex]1\frac{4}{5}[/tex]
35 1/5 is the perimeter of the square and the triangle.
Step-by-step explanation:
The square has 4 sides, so the perimeter of the square is 4(x+3)
The triangle has 3 sides so the perimeter is 3(3x-1)
The perimeters are equal, so 4(x+3) = 3(3x-1)
Solve by distributing and then
4x +12 = 9x - 3 subtract 4x from both sides and add 3 to both sides
4x-4x +12 -3 = 9x-4x -3 +3 cancel the zero sums and combine similar terms.
9 = 5x divide both sides by 5
x = 9/5
Check: 4(9/5 +3) = 3[3(9/5) -1]
36/5 + 3 = [3( 27/5 -1 ] 27/5 -3 -3 equivalent -15/5 27/5 -15/5 = 12/5
36/5 = 3(12/5) = 36/5 TRUE! simplify to mixed numbers
35 1/5 is the perimeter of the square and the triangle.
