Question

1. simplify an expression for the perimeter of the square. 5.9x − 3.3

Explanation:

Step1: Recall the perimeter formula for a square

The perimeter \( P \) of a square is given by \( P = 4\times \text{side length} \). Here, the side length of the square is \( 5.9x - 3.3 \).

Step2: Apply the formula to the given side length

Substitute the side length into the perimeter formula: \( P = 4\times(5.9x - 3.3) \).

Step3: Distribute the 4

Using the distributive property \( a(b + c)=ab + ac \) (here \( a = 4 \), \( b = 5.9x \), \( c=- 3.3 \)):
\( P=4\times5.9x-4\times3.3 \)

Step4: Calculate the products

Calculate \( 4\times5.9 = 23.6 \) and \( 4\times3.3 = 13.2 \). So the expression becomes \( P = 23.6x-13.2 \).

Answer:

The simplified expression for the perimeter of the square is \( 23.6x - 13.2 \)