Full Question:
Mark wants to fence 4 rectangular gardens, each with a length of feet 9¼ and a width of feet 4½ . What is the total length of fencing Mark needs to surround all 4 gardens?
Answer:
The total length of fencing Mark needs to surround all 4 gardens is 110ft
Explanation:
Given
4 rectangles of equal dimension
Length of a a garden = 9¼ ft
Width of a garden = 4½ ft
This means that the length and width of the other 3 gardens are 9¼ ft and 4½ ft respectively.
To calculate the total length of fencing all 4 gardens,
First, we need to calculate the total length of a garden.
The interpretation of this is that we want to calculate the perimeter of the field
Perimeter of a rectangle is calculated using
P = 2(L + W)
Where P = Perimeter
L = Length = 9¼
W = Width = 4½
So,
P = 2(9¼ + 4½)
P = 2(9.25 + 4.5)
P = 2(13.75)
P = 27.5
P = 27½ ft
If the total length of a field is 27½ ft and all four fields have the same dimensions, then
The total length of all 4 fields = 4 * 27½
Total Length = 110ft
Hence, the total length of fencing Mark needs to surround all 4 gardens is 110ft