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)?(1 point)

Responses

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

Each side is 14 12 inches
Each side is 14 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 each side of the shelter, we start with the information given:

  1. The length of the back wall is \(3.25\) feet.
  2. The total length of all three sides is \(6\) feet.
  3. The two other sides (width) are the same length.

Let's denote the width of each side as \(w\). The total length of all three sides can be expressed as:

\[ \text{Total length} = \text{Back wall} + \text{Width} + \text{Width} = 3.25 + w + w = 3.25 + 2w \]

Since the total length of all three sides is \(6\) feet, we can set up the equation:

\[ 3.25 + 2w = 6 \]

Now, let's isolate \(2w\):

\[ 2w = 6 - 3.25 \] \[ 2w = 2.75 \]

Now, divide both sides by \(2\):

\[ w = \frac{2.75}{2} = 1.375 \text{ feet} \]

To convert \(1.375\) feet to inches (since \(1\) foot = \(12\) inches):

\[ 1.375 \text{ feet} \times 12 = 16.5 \text{ inches} \]

Converting to a mixed number, \(16.5\) inches is the same as \(16 \frac{1}{2}\) inches.

So, the length of each side (width) is \(16 \frac{1}{2}\) inches.

The correct response is:

Each side is 16 12 inches.