The area of the first field is 5 times larger than the area of the second, which is equal to the area of each field
The area of the first field is 5 times larger than the area of the second, which is equal to the area of each field if the area of the second is 23.2 hectares less than the area of the first.
This task is not difficult. we will solve it using an equation with one unknown.
1. Let’s designate the area of the second field through x hectares.
2. Find out what the area of the first field is equal to.
5 * x = 5x hectares.
3. Find out what is the area of the second field.
(5x-23.2) hectares.
4. Let’s compose and solve the equation.
5x-23.2 = x.
5x-x = 23.2.
4x = 23.2.
x = 23.2 / 4.
x = 5.8.
5. The area of the second field is x = 5.8 hectares.
6. The area of the first field is 5 * x = 5 * 5.8 = 29 hectares.
Answer: The area of the first field is twenty-nine hectares, the area of the second field is five point eight and eight-tenths of hectares.