Joe wants to put a fence around his rectangular garden. His garden measures 33 ft by 39 ft. The garden has a path around it that is 3 ft wide. How much fencing material does Joe need to enclose the garden and path?
To find the amount of fencing material Joe needs, we need to calculate the perimeter of the garden and the path.
First, let's determine the perimeter of the garden. The garden measures 33 ft by 39 ft, so the perimeter of the garden is given by the formula:
Perimeter of the garden = 2 × (Length + Width)
Substituting the values, we get:
Perimeter of the garden = 2 × (33 ft + 39 ft) = 2 × 72 ft = 144 ft
Next, let's calculate the perimeter of the path. Since the path runs around the garden on all sides, it will add an extra 3 ft to both the length and width of the garden. Therefore, the dimensions of the garden plus the path can be calculated as:
Length of garden + path = 33 ft + 2 × (3 ft) = 33 ft + 6 ft = 39 ft
Width of garden + path = 39 ft + 2 × (3 ft) = 39 ft + 6 ft = 45 ft
Now, we can find the perimeter of the path using the same formula as before:
Perimeter of the path = 2 × (Length + Width)
Substituting the values, we get:
Perimeter of the path = 2 × (39 ft + 45 ft) = 2 × 84 ft = 168 ft
To find the total amount of fencing material Joe needs, he will need to enclose both the garden and the path. This means he needs to add the perimeters of the garden and the path:
Total amount of fencing material = Perimeter of the garden + Perimeter of the path
Substituting the values, we get:
Total amount of fencing material = 144 ft + 168 ft = 312 ft
Therefore, Joe needs 312 feet of fencing material to enclose the garden and path.
so the fenced in length is 39 ft and the width of the fenced in field is 45 ft
Perimeter = 2 lengths + 2 widths = .....