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

Answer:

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

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

Step-by-step 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

$L=120\ yd$

$W=53\frac{1}{3}\ yd=\frac{53*3+1}{3}=\frac{160}{3}\ yd$

substitute

$A=(120)(\frac{160}{3})=6,400\ yd^2$

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

we have

$L=120\ yd$

$W=\frac{160}{3}\ yd$

Remember that

$1\ yd=3\ ft$

To convert yards to feet multiply by 3

so

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

$W=\frac{160}{3}\ yd=\frac{160}{3}(3)=160\ ft$

substitute

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