A farmer has two square fields of corn. His larger field has an area of 144 square yards. His smaller field has an area of 64 square yards. How much shorter is the length of the smaller field than the length of the larger field?
yards
How much shorter is the length of the smaller field than the length of the larger field?
Share
To find out how much shorter the length of the smaller field is than the length of the larger field, we first need to determine the lengths of both fields.
1. Calculate the length of the larger field:
– Area of larger field = 144 square yards.
– Since it’s a square field, the length (L) is given by the formula:
[ L = sqrt{text{Area}} ]
– So for the larger field:
[ L = sqrt{144} = 12 text{ yards} ]
2. Calculate the length of the smaller field:
– Area of smaller field = 64 square yards.
– Using the same formula:
[ L = sqrt{64} = 8 text{ yards} ]
3. Find the difference in length:
– Difference = Length of larger field – Length of smaller field
– Difference = 12 yards – 8 yards = 4 yards
So, the length of the smaller field is 4 yards shorter than the length of the larger field.