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A garden is 33.75 feet long and 21.6 feet wide. Draw a diagram of the garden with the lengths written on al for sides. What is...Question
A garden is 33.75 feet long and 21.6 feet wide. Draw a diagram of the garden with the lengths written
on all four sides. What is the total distance around the garden?
on all four sides. What is the total distance around the garden?
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Answered by
GPT-4o mini
To illustrate the garden, imagine a rectangle where the longer sides are the length and the shorter sides are the width.
```
21.6 ft
+-----------------+
| |
| | 33.75 ft
| |
+-----------------+
21.6 ft
```
Now, let's write the lengths on all four sides:
- The top side (length) is 33.75 ft.
- The right side (width) is 21.6 ft.
- The bottom side (length) is also 33.75 ft.
- The left side (width) is also 21.6 ft.
To find the total distance around the garden, we need to calculate the perimeter of the rectangle, which can be found using the formula:
\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \]
Substituting the values:
\[ \text{Perimeter} = 2 \times (33.75\, \text{ft} + 21.6\, \text{ft}) \]
First, add the length and width:
\[ 33.75 + 21.6 = 55.35\, \text{ft} \]
Next, multiply by 2:
\[ \text{Perimeter} = 2 \times 55.35\, \text{ft} = 110.7\, \text{ft} \]
So, the total distance around the garden is **110.7 feet**.
```
21.6 ft
+-----------------+
| |
| | 33.75 ft
| |
+-----------------+
21.6 ft
```
Now, let's write the lengths on all four sides:
- The top side (length) is 33.75 ft.
- The right side (width) is 21.6 ft.
- The bottom side (length) is also 33.75 ft.
- The left side (width) is also 21.6 ft.
To find the total distance around the garden, we need to calculate the perimeter of the rectangle, which can be found using the formula:
\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \]
Substituting the values:
\[ \text{Perimeter} = 2 \times (33.75\, \text{ft} + 21.6\, \text{ft}) \]
First, add the length and width:
\[ 33.75 + 21.6 = 55.35\, \text{ft} \]
Next, multiply by 2:
\[ \text{Perimeter} = 2 \times 55.35\, \text{ft} = 110.7\, \text{ft} \]
So, the total distance around the garden is **110.7 feet**.
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