Question

a square has the side length of ( x - 8 ). an equilateral triangle has a side length of ( x + 2 ). which expression tells you there are 4 equal sides to the perimeter of the square?
a ( 3x + 6 )
b ( 4x - 32 )
c ( 3(x + 2) )
d ( 4(x - 8) )

Explanation:

Step1: Recall the formula for the perimeter of a square

The perimeter \(P\) of a square is \(P = 4\times\) side - length.

Step2: Identify the side - length of the square

The side - length of the given square is \(x - 8\).

Step3: Calculate the perimeter of the square

Substitute the side - length into the perimeter formula: \(P=4\times(x - 8)=4(x - 8)\).

So the expression that represents the perimeter of the square (with 4 equal sides) is \(4(x - 8)\), which is option D.

Answer:

D. \(4(x - 8)\)