Question

The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is

given by x, and the length of a side of the equilateral triangle is given by x+1. Which equation can be used to find the
value of x?
A)x=3(x+1)
B)3x = 4(x+1)
C)4x=3(x+1)
D)X=X+ 1

Answer 1

The equation that can be used to find the value of x is 4x = 3(x+1), and the value of x is 3.

Step-by-step explanation:

To find the value of x, we can set up an equation using the information given. The perimeter of a square is equal to 4 times the length of one of its sides, so the perimeter of the square is 4x.

The perimeter of an equilateral triangle is equal to 3 times the length of one of its sides, so the perimeter of the equilateral triangle is 3(x+1). Since the perimeters are equal, we can set up the equation: 4x = 3(x+1).

Now we can solve for x:

4x = 3x + 3

x = 3

So the value of x is 3.