The shelter as three sides. The length (back wall) is 3.25 feet. The total length of all 3 sides is 6 feet and the two other sides (width of the shelter) are the same length. What is the length of each side (width)?(2 points)

Responses

Each side is 14 12
inches
Each side is 14 1 half inches

Each side is 19 12
inches
Each side is 19 1 half inches

Each side is 15 inches
Each side is 15 inches

Each side is 16 12
inches

1 answer

To find the width of the shelter, we need to set up the equation based on the information given:

  1. The back wall (length) of the shelter is 3.25 feet.
  2. The total length of all 3 sides of the shelter is 6 feet.
  3. Let the width of each of the two sides be represented as \(w\).

The equation based on the total length of the three sides is: \[ 3.25 + 2w = 6 \]

Now, we can solve for \(w\):

  1. Subtract 3.25 from both sides: \[ 2w = 6 - 3.25 \] \[ 2w = 2.75 \]

  2. Divide both sides by 2: \[ w = \frac{2.75}{2} \] \[ w = 1.375 \text{ feet} \]

To convert feet to inches (since 1 foot = 12 inches): \[ 1.375 \text{ feet} \times 12 \text{ inches/foot} = 16.5 \text{ inches} \]

Thus, the width of each side is 16.5 inches or 16 1/2 inches.

Among the response options, the correct answer is: Each side is 16 1/2 inches.