Question

1. Pet exercise Area (triangle):

2.Vegetable Garden Area (small rectangle):
3.TOTAL Backyard Area (large rectangle):

Answer 1

Part 1)
`A=224\ ft^2`

Part 2)
`A=672\ ft^2`

Part 3)
`A=8,688\ ft^2`

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

`A=(1)/(2)(b)(h)`

we have

`b=16\ ft\\h=28\ ft`

substitute

`A=(1)/(2)(16)(28)=224\ ft^2`

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

`A=(b)(h)`

we have

`b=32\ ft\\h=21\ ft`

substitute

`A=(32)(21)=672\ ft^2`

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

`A=(b)(h)`

we have

`b=181\ ft\\h=48\ ft`

substitute

`A=(181)(48)=8,688\ ft^2`