Question

A football field measures 120 yards long and 54 yards wide. We know that the team can fit 26 players in 5 yards by 8 yards box. How many people can fit on the field if the school wanted to cover the entire area?
2782 people

3022 people

4212 people

6480 people

Answer 1

Answer:

4,212 people

Step-by-step explanation:

We are given;

• Dimensions of the football field are 120 yards by 54 yards
• 26 players can fit in a box measuring 5 yards by 8 yards

We are required to determine the number of people that can fit in the football field.

• We are going to get the area of the field first;

Area = length × Width

Area of the field = 120 yards × 54 yards

                          =  6480 square yards

• Then we get the area of the box

Area of the box = 5 yards × 8 yards

                           = 40 square yards

• We then determine the number of boxes that can fit in the football field

Number of boxes = Area of the foot ball field ÷ Area of one box

                             = 6480 sq yards ÷ 40 sq yards

                             = 162 boxes

But, 26 people can fit in one box

Therefore,

Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box

That is, Number of people = 26 players × 162 boxes

                                            = 4,212 people

Therefore, the number of people that can fit in the football field is 4,212 people.