IN a square with each side measuring 6inches what is the ratio of the perimeter to the area? Please show work for this!!
P = 4S
P = 4 * 6
P = ?______ inches
24 inches is perimeter but what about the ratio (its been a long time since we went over this in school and I have forgoten a lot)
Find the area.
A = s^2
A = 6^2
A = 36 sq. in.
24/36 = 2/3 = 2:3
To find the ratio of the perimeter to the area of a square, we first need to determine the perimeter and the area of the square.
The perimeter of a square is given by the formula P = 4s, where s is the length of one side. In this case, the length of each side is given as 6 inches. So, the perimeter (P) would be:
P = 4 × 6
P = 24 inches
The area of a square is given by the formula A = s², where s is the length of one side. In this case, the length of each side is 6 inches. So, the area (A) would be:
A = 6²
A = 36 square inches
Now we can find the ratio of the perimeter to the area. The ratio is calculated by dividing the perimeter by the area:
Perimeter to Area Ratio = (Perimeter / Area)
Plugging in the values we found earlier:
Ratio = (24 inches / 36 square inches)
Ratio = 2/3
Therefore, the ratio of the perimeter to the area of the square is 2:3, or simply 2/3.
To summarize:
Perimeter = 24 inches
Area = 36 square inches
Ratio of Perimeter to Area = 2:3