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% .

Answer 1

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?