Question

The diagram shows a garden plot. The area of the garden is ____ square feet. The length of fencing required to completely enclose the garden is_____ feet.

Answer 1

Area of the garden = 72 square feet

Perimeter of the garden = 36 feet

Hope this was helpful :)

Explanation:

Answer 2

The garden area is given by:

`A = (1)/(2)(AB + DC)(AD)`
Substituting values we have:

`A = (1)/(2)(12+6)(8)`
Rewriting we have:

`A = (1)/(2)(18)(8)`

`A= 72`
The perimeter is given by the sum of the sides.
We have then:

`P = AB + AD + DC + CB`
Where,
CB is given by:

`CB = √((16-10)^2 + (12-4)^2)`

`CB = √(100)`

`CB = 10`
Substituting values:

`P=12+8+6+10`

`P=36`
Answer:
The area of the garden is 72 square feet. The length of fencing required to completely enclose the garden is 36 feet.