Answer:
A₁-A₂=\(693ft^{2}\) : 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=lw Formula (1)
Where:
A: Area in \(ft^{2}\)
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 in1f/12in =3ft w₂=108 in1ft/12in=9ft
Problem development
We replace the data in formula (1) to calculate areas:
A₁=l₁ w₁=24 ft 30 ft =720\(ft^{2}\)
A₂=l₂ w₂=3 ft *9 ft =27 \(ft^{2}\)
A₁-A₂:Area of the yard, not including the garden
A₁-A₂=720\(ft^{2}\)-27\(ft^{2}\)
A₁-A₂=\(693ft^{2}\)
