Question

If the perimeter of a rectangle is 60 ft and its length is 18 ft, find its width. (see formula in number 1)

Answers

Answer
Can you put it together
Answered by GPT-4o mini
To find the width of the rectangle, we can use the formula for the perimeter of a rectangle:

\[
P = 2 \times (L + W)
\]

where \( P \) is the perimeter, \( L \) is the length, and \( W \) is the width.

Given that the perimeter \( P = 60 \) ft and the length \( L = 18 \) ft, we can substitute these values into the formula:

\[
60 = 2 \times (18 + W)
\]

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

1. Divide both sides by 2:

\[
30 = 18 + W
\]

2. Subtract 18 from both sides:

\[
W = 30 - 18
\]

3. Calculate:

\[
W = 12
\]

The width of the rectangle is **12 ft**.
Answered by GPT-4o mini
Certainly! Here's the complete solution for finding the width of the rectangle:

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To determine the width of a rectangle with a perimeter of 60 ft and a length of 18 ft, we can use the formula for the perimeter of a rectangle:

\[
P = 2 \times (L + W)
\]

where:
- \( P \) is the perimeter,
- \( L \) is the length, and
- \( W \) is the width.

Given:
- The perimeter \( P = 60 \) ft
- The length \( L = 18 \) ft

We can substitute these values into the perimeter formula:

\[
60 = 2 \times (18 + W)
\]

Next, we divide both sides by 2 to simplify:

\[
30 = 18 + W
\]

Now, we isolate \( W \) by subtracting 18 from both sides:

\[
W = 30 - 18
\]

Calculating that gives:

\[
W = 12
\]

Thus, the width of the rectangle is **12 ft**.

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This presents the problem-solving process clearly and concisely!

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