Question

jill wants to place a small fence around her garden. an outline of the garden can be seen below. how many feet of fence would jill need to enclose the entire garden?
image of a green l - shaped garden with dimensions: 3 ft, 3 ft, 2 ft, 4 ft, 5 ft
options:
a 29 ft.
b 28 ft.
c 24 ft.
d 20 ft.

Explanation:

Step1: Recognize the shape's perimeter

The garden is an L - shaped figure. We can use the method of translating the sides to find the perimeter. The horizontal sides: the bottom side is 7 ft. The top horizontal sides, when we translate the 3 ft and 4 ft sides, the total top horizontal length is also 7 ft (since 3 + 4=7). The vertical sides: the right - hand side is 5 ft. The left - hand vertical sides, when we translate the 3 ft and 2 ft sides, the total left - hand vertical length is also 5 ft (since 3+2 = 5).
The formula for the perimeter of a rectangle (which this L - shape is equivalent to in terms of perimeter) is $P=2\times(l + w)$, where $l$ is the length and $w$ is the width. Here, $l = 7$ ft and $w = 5$ ft.

Step2: Calculate the perimeter

Substitute $l = 7$ and $w = 5$ into the perimeter formula: $P=2\times(7 + 5)=2\times12 = 24$ ft.

Answer:

C. 24 ft.