Section 1: Measurement

3.) 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 15 inches
Each side is 15 inches

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

Each side is 16 12
inches
Each side is 16 1 half inches
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1 answer

To find the width of each side of the shelter, we can use the information provided.

Let's denote the width of each side as \( w \).

The total length of the three sides is given as 6 feet, which is equal to 72 inches (since 1 foot = 12 inches): \[ \text{Total length} = 72 \text{ inches} \] The length of the back wall is 3.25 feet, which is equal to 39 inches (3.25 feet x 12 inches/foot): \[ \text{Length of back wall} = 39 \text{ inches} \]

Since the total length consists of the back wall and the two widths: \[ \text{Total length} = \text{Length of back wall} + 2 \times \text{Width} \ 72 = 39 + 2w \]

Now we can solve for \( w \): \[ 72 - 39 = 2w \ 33 = 2w \ w = \frac{33}{2} = 16.5 \text{ inches} \]

Thus, the length of each side (width) is 16.5 inches.

The correct response is: Each side is 16 1/2 inches.