The garden is rectangular with a length of l=20 feet.
Miguel's drawing has a length of l=21in and width=18in
a) To determine the area of the garden you need to determine its width first.
Asuming that Miguel used the same convertion scale for the length and width, use the length of the actual garden and the length of his drawing to determine said scale:
21in corresponds to 20 feet
1 in corresponds to x feet
x=20/21feet
Now multiply it by the width:
w=18*20/21=120/7feet
Now calculate the area of the garden:
![\begin{gathered} A=w\cdot l \\ A=20\cdot(120)/(7) \\ A=(2400)/(7)=342.86 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hjqcsx8xlw77gtq87adnswtvros0onrnuv.png)
b. To solve this you can use cross multiplication, if the garden has an area of 342.86 square freet, and eech square foot costs $5.34, multiply the area by the cots to determine how much he will spend in the soil:
342.86*$5.34=$1830.86