Question
Sharon has a patio in the shape of a rectangle. • The length of the patio is feet. l The width of the patio is feet w . Sharon plans to expand the patio by increasing the length by 50% and increasing the width by 20% .
Answers
GPT-4o mini
To calculate the new dimensions of Sharon's patio after the proposed expansions, you can use the following steps:
1. **Initial Dimensions:**
- Length of the patio: \( l \) feet
- Width of the patio: \( w \) feet
2. **Increased Length:**
- To increase the length by 50%, multiply \( l \) by 1.5.
- New length \( L \) = \( l \times 1.5 \)
3. **Increased Width:**
- To increase the width by 20%, multiply \( w \) by 1.2.
- New width \( W \) = \( w \times 1.2 \)
4. **New Dimensions Summary:**
- New length: \( L = 1.5l \)
- New width: \( W = 1.2w \)
If you have specific values for \( l \) and \( w \), you can plug those in to get the actual new dimensions of the patio. Would you like to provide those values?
1. **Initial Dimensions:**
- Length of the patio: \( l \) feet
- Width of the patio: \( w \) feet
2. **Increased Length:**
- To increase the length by 50%, multiply \( l \) by 1.5.
- New length \( L \) = \( l \times 1.5 \)
3. **Increased Width:**
- To increase the width by 20%, multiply \( w \) by 1.2.
- New width \( W \) = \( w \times 1.2 \)
4. **New Dimensions Summary:**
- New length: \( L = 1.5l \)
- New width: \( W = 1.2w \)
If you have specific values for \( l \) and \( w \), you can plug those in to get the actual new dimensions of the patio. Would you like to provide those values?