Question

The length of a side of a square is represented by 2x+2, and the length of a side of an equilateral triangle by 4. If the square and the equilateral triangle have equal perimeters, find x.

F) 1
G) 1/2
H).1/3
J) 2/3
K) 1/4

Answer 1

Answer: Therefore, the answer is (G) 1/2.

Step-by-step explanation: Let's first express the perimeter of the square and the equilateral triangle in terms of x:

Perimeter of the square: 4(2x+2) = 8x + 8

Perimeter of the equilateral triangle: 3(4) = 12

Since the two shapes have equal perimeters, we can set the two expressions equal to each other and solve for x:

8x + 8 = 12

8x = 4

x = 1/2