One side of a rectangle is 9 inches and the other side is x inches. What values of x will make the perimeter at most 46? a x < 14 b x ≤ 14 c x ≥ 14 d 0 < x ≤ 14

The correct answer is:

x ≤ 14 (b)

Step-by-step explanation:

first of all, let us find the other side of the rectangle using the limit of 46 as the highest perimeter:

Perimeter of a rectangle = 2(Length) + 2(width)

Let the length = x inches

let the width = 9 inches

Perimeter = 2x + 2(9)

46 = 2x + 18

2x = 46 - 18

2x = 28

x = 28 ÷ 2

x = 14

Therefore, for the perimeter to be equal to 46 inches, the other side of the rectangle must be equal to 14 inches. Hence, for the perimeter to be at most 46 inches ( 46 inches or less):

x is less than or equal to 14 (x ≤ 14)