Answer:
To find the value of x in the given square and equilateral triangle with the same perimeter, we need to set up an equation based on the information provided.
Let's denote the length of each side of the equilateral triangle as "s". Since the triangle is equilateral, all three sides are equal in length.
The perimeter of the triangle is given by:
Perimeter of the triangle = 3s
Now, let's consider the square. The perimeter of a square is given by:
Perimeter of the square = 4 * side length
We are given that the two perimeters are equal, so we can set up the following equation:
3s = 4(2x + 5)
Simplifying the equation:
3s = 8x + 20
Since the length of each side of the equilateral triangle is equal to s, we can substitute s back into the equation:
3s = 8x + 20
3(s) = 8x + 20
3(2x + 5) = 8x + 20
6x + 15 = 8x + 20
Next, we can solve the equation to find the value of x:
6x + 15 = 8x + 20
6x - 8x = 20 - 15
-2x = 5
x = -5/2
Therefore, the value of x is -5/2.
Alli <3