The shelter has three sides the length back wall is 3.25 ft the total length of all three sides is 6 ft and the two other sides width of the shelter are the same length what is the length of each side a each side is 19 and 1/2 in B each side is 16 and 1/2 in see each side is 15 in D each side is 14 and 1/2 in

1 answer

Let's denote the lengths of the three sides of the shelter.

  1. The back wall length is 3.25 feet.
  2. Let the width of each of the two side walls be \( x \).

According to the problem, the total length of all three sides is 6 feet. This gives us the equation:

\[ 3.25 + x + x = 6 \]

Simplifying this, we get:

\[ 3.25 + 2x = 6 \]

Now, to isolate \( 2x \), we subtract 3.25 from both sides:

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

Next, we divide by 2 to find \( x \):

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

Now, we need to convert feet into inches because the answer choices are given in inches. There are 12 inches in a foot, so:

\[ 1.375 \text{ feet} \times 12 \text{ (inches/foot)} = 16.5 \text{ inches} \]

So, \( x = 16.5 \) inches.

Therefore, the length of each of the two side walls is 16.5 inches, matching:

B) each side is 16 and 1/2 in.

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