Answer:
A₁-A₂= : 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
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
A₂=l₂* w₂=3 ft *9 ft =27
A₁-A₂:Area of the yard, not including the garden
A₁-A₂=720-27
A₁-A₂=
As we can see on the picture we have a rectangle and half of circle.
The areas for half circle and rectangle are:
The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.
Now we calculate the areas.
The area of the figure is approximately 74ft squared.
Hope this helps.
r3t40