Kris jogged around a rectangular field 2 times. The total distnce covered was 1200 meters. If the field is 100 meter wide, what is the length of the field?
Answers
=600m
Perimeter or distance of the field=2(l+b)
⇒600m=2(l+100m)
⇒600m/2=l+100m
⇒300m=l+100m
⇒300m-100m=l
⇒200m=l
⇒l=200m
Given,
Kris jogged around a rectangular field 2 times,
Total distance covered = 1200 m,
Width of the field = 100 m.
To find,
Length of the field.
Solution,
The distance covered around a two-dimensional shape (such as a field), is called the perimeter of the shape.
For a rectangular field, the perimeter is given by
P = 2(l + b) ...(1)
Where,
l = length of the field,
b = breadth or width of the field.
Here, it's given Kris jogged the field 2 times, so the distance covered by him will be twice the perimeter. So,
1200 = 2×P
Rearranging and simplifying, we get,
P = 600 m.
From eq. (1), we have,
2(l + b) = 600
Since width or breadth is given 100 m (b = 100 m), the above equation becomes,
2(l + 100) = 600
⇒ l + 100 = 300
⇒ l = 300 - 100
⇒ l = 200 m.
Therefore, the length of the given field will be 200 m.