Answer:
The dimensions of the sports field are 80 yards and 3 - 5x yards
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Width of the sports field = At least 60 yards
Area of the sports field = 240 - 400x square yards
We can conclude the shape of the sports field is rectangular.
2. Find the dimensions of the sports field.
A. We need to find the Greatest Common factor between 240 and 400, this way:
The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
.
The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
.
Then the greatest common factor is 80.
This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.
Now, we calculate the other side of the sports, this way:
Second dimension of the sports field = (240 - 400x)/80
Second dimension of the sports field = 3 -5x
The dimensions of the sports field are 80 yards and 3 - 5x yards
