Section 1: Measurement

Question

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 16 12
inches
Each side is 16 1 half inches

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

Answer 1

To find the width of the shelter, we need to first establish the relationships between the given lengths.

1. We know that the back wall (length) is 3.25 feet.
2. Let $w$ be the width of each of the two sides.

According to the problem, the total length of all three sides is 6 feet. The equation for this would be:

$$3.25+w+w=6$$

This simplifies to:

$$3.25+2w=6$$

Next, 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:

$$w=\frac{2.75}{2}=1.375\text{ feet}$$

Now, converting 1.375 feet to inches (since there are 12 inches in a foot):

$$1.375\text{ feet}\times 12\text{ inches/foot}=16.5\text{ inches}$$

Therefore, the width of each side is 16.5 inches.

Now looking at the options provided:

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

The correct response is: Each side is 16 1 half inches.