If the perimeter of the rectangular ball field is 1 kilometer which of the following could be the field's dimensions? L=312m W=188m or L= 1/2 m
W = 1/2 m
P=Perimeter
L=Length
W=Width
P=2L+2W
P=2*(L+W)
P=2*(312+188)
P=2*500
P=1000
1000 meters=1 kilometer
To find the dimensions of a rectangular ball field, we need to understand the formula for calculating the perimeter of a rectangle and then apply it to the given options.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
Let's check each option one by one:
Option 1:
L = 312m, W = 188m
Perimeter = 2 * (312m + 188m) = 2 * 500m = 1000m
Since the perimeter matches the given value of 1 kilometer (1000m), this option is valid.
Option 2:
L = 1/2m, W = 1/2m
Perimeter = 2 * (1/2m + 1/2m) = 2 * 1m = 2m
The perimeter calculated for this option is only 2 meters, which does not match the given value of 1 kilometer. Hence, this option is invalid.
Therefore, the field's dimensions that could be valid are L = 312m and W = 188m.