Answer:
A₁-A₂=[tex]693ft^{2}[/tex] : Area of the yard, not including the garden
Step-by-step explanation:
Conceptual Analysis
The formula to calculate the area of a surface is:
A=l*w Formula (1)
Where:
A: Area in [tex]ft^{2}[/tex]
l: length in ft
w: width in ft
Nomenclature
A₁: Drake's yard area ,l₁: Drake's yard length, w₁= Drake's yard width
A₂: garden area , l₂: garden length, w₂=garden width
Known data
1ft=12 in
l₁=24 ft w₁= 30 ft
l₂=36 in*1f/12in =3ft w₂=108 in*1ft/12in=9ft
Problem development
We replace the data in formula (1) to calculate areas:
A₁=l₁* w₁=24 ft *30 ft =720[tex]ft^{2}[/tex]
A₂=l₂* w₂=3 ft *9 ft =27 [tex]ft^{2}[/tex]
A₁-A₂:Area of the yard, not including the garden
A₁-A₂=720[tex]ft^{2}[/tex]-27[tex]ft^{2}[/tex]
A₁-A₂=[tex]693ft^{2}[/tex]
