Answer:The possible dimensions of the sports field are width 70 yards, length 7-3x yards.What are dimensions?Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction. Given that, the width is at least 50 yards and area is (490-210x)We can conclude the shape of the sports field is rectangular.We need to find the Greatest Common factor between 490 and 210, this way:490 = 2 × 5 × 7 × 7210 = 2 × 5 × 3 × 7Then the greatest common factor is 2 × 5 × 7 = 70This GCF is also equal to 70 yards (given in option), 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 = (490-210x)/70= 7-3x
Step-by-step explanation: Hence, The possible dimensions of the sports field are width 70 yards, length 7-3x yards.