The area of your new rectangular field has to be 3/4 of a mile. You have decided that the field will be 1/2 mile wide. How long does your field need to be so it has an area of 3/4 mile? (use this technique to solve it: area ÷ width = length)
To find the length of the field, we can use the formula:
Area ÷ Width = Length
Given that the area of the field is 3/4 mile and the width is 1/2 mile, we substitute these values into the formula:
(3/4) ÷ (1/2) = Length
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(3/4) * (2/1) = Length
Multiplying the numerators and denominators, we get:
(3 * 2) / (4 * 1) = Length
6/4 = Length
Simplifying the fraction, we get:
3/2 = Length
Therefore, the length of the field needs to be 3/2 mile.