Question

Including the end zones, a football field measures 120 yds long by 53and1/3 yards wide. What is the area of a football field?

Answer 1

The area of the football field in square yards is
`6,400`

The area of the football field in square feet is
`57,600`

Explanation:

Part 1) Find the area of football field in square yards

we know that

The area of a rectangle (football field) is equal to

`A=LW`

we have

`L=120\ yd`

`W=53(1)/(3)\ yd=(53*3+1)/(3)=(160)/(3)\ yd`

substitute

`A=(120)((160)/(3))=6,400\ yd^2`

Part 2) Find the area of football field in square feet

we have

`L=120\ yd`

`W=(160)/(3)\ yd`

Remember that

`1\ yd=3\ ft`

To convert yards to feet multiply by 3

so

`L=120\ yd=120(3)=360\ ft`

`W=(160)/(3)\ yd=(160)/(3)(3)=160\ ft`

substitute

`A=(360)(160)=57,600\ ft^2`