ANSWER
The incorrect option is Each side length of the square is 6 units
Step-by-step explanation
We are given that the perimeter of the square and the equilateral triangle are equal.
The length of the side of the square is 2x.
The perimeter of a square is given as:
P = 4 * L
=> P = 4 * 2x
P(square) = 8x
The length of side of the triangle is given as 3x - 1.5.
The perimeter of an equilateral triangle is given as:
P = 3 * L
=> P = 3 * (3x - 1.5)
P(triangle) = 9x - 4.5
Therefore, since both perimeters are equal:
8x = 9x - 4.5
Collect like terms:
9x - 8x = 4.5
x = 4.5
Now, for the options:
- The value of x is 4.5
- The perimeter of the square is 8 * 4.5 i.e. 36 units.
- Each side length of the square is 2 * 4.5 = 9 units
- Each side length of the triangle is :
3 * 4.5 - 1.5 = 13.5 - 1.5 = 12 units
So, the incorrect option is Each side length of the square is 6 units