Question

Patient has both Boards of different sizes in her classroom she wants to pack late how much for her she needs for each one the length of each bulletin board is 6 in less than three times it's wet simplify W + 3w- 6 + W + 3w minus 6 to find the formula for the perimeter of each missions bulletin boards a. 8 W - 12 b.6w - 10 C .8w squared minus 12 d.6w squared - 10

Answer 1

To find the formula for the perimeter of each bulletin board based on the given information, we start by interpreting the details about the dimensions of the bulletin boards provided in the question.

1. The length of each bulletin board is given as 6 inches less than three times its width (w). We can express this mathematically:

   • Length \( L = 3w - 6 \)

2. The perimeter \( P \) of a rectangle (which a bulletin board likely resembles) is calculated using the formula: \[ P = 2L + 2W \] Now substituting our length \( L \) into the perimeter formula: \[ P = 2(3w - 6) + 2w \]

3. Now, let's simplify the expression step by step:

   • First, distribute the 2 in the first part: \[ P = 2(3w) - 2(6) + 2w \] \[ P = 6w - 12 + 2w \]
   • Now combine the like terms (6w and 2w): \[ P = (6w + 2w) - 12 \] \[ P = 8w - 12 \]

So the simplified expression for the perimeter of each bulletin board is: \[ P = 8w - 12 \]

Among the answer choices provided, the correct answer is: a. 8w - 12.