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**.
\[
P = 2 \times (L + W)
\]
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:
---
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**.
---
This presents the problem-solving process clearly and concisely!
---
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**.
---
This presents the problem-solving process clearly and concisely!