Respuesta :

Answer:

Part 1) [tex]A=224\ ft^2[/tex]

Part 2) [tex]A=672\ ft^2[/tex]

Part 3) [tex]A=8,688\ ft^2[/tex]

Step-by-step explanation:

Part 1) Find Pet exercise Area

we know that

The Pet exercise Area is equal to the area of a triangle

The area of a triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

we have

[tex]b=16\ ft\\h=28\ ft[/tex]

substitute

[tex]A=\frac{1}{2}(16)(28)=224\ ft^2[/tex]

Part 2) Find Vegetable Garden Area (small rectangle):

we know that

The Vegetable Garden Area is equal to the area of a rectangle

The area of rectangle is equal to

[tex]A=(b)(h)[/tex]

we have

[tex]b=32\ ft\\h=21\ ft[/tex]

substitute

[tex]A=(32)(21)=672\ ft^2[/tex]

Part 3) Find TOTAL Backyard Area (large rectangle)

we know that

The TOTAL Backyard Area is equal to the area of a rectangle

The area of rectangle is equal to

[tex]A=(b)(h)[/tex]

we have

[tex]b=181\ ft\\h=48\ ft[/tex]

substitute

[tex]A=(181)(48)=8,688\ ft^2[/tex]