Question

The square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?

Help please

Answer 1

u,

Explanation:

Answer 2

Answer: x = 9/5 or
`1(4)/(5)`

35 1/5 is the perimeter of the square and the triangle.

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.