MATH SOLVE

4 months ago

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

Accepted Solution

A:

Answer:The area of the football field in square yards is [tex]6,400[/tex]The area of the football field in square feet is [tex]57,600[/tex]Step-by-step explanation:Part 1) Find the area of football field in square yardswe know thatThe area of a rectangle (football field) is equal to[tex]A=LW[/tex]we have[tex]L=120\ yd[/tex][tex]W=53\frac{1}{3}\ yd=\frac{53*3+1}{3}=\frac{160}{3}\ yd[/tex]substitute[tex]A=(120)(\frac{160}{3})=6,400\ yd^2[/tex]Part 2) Find the area of football field in square feetwe have[tex]L=120\ yd[/tex][tex]W=\frac{160}{3}\ yd[/tex]Remember that[tex]1\ yd=3\ ft[/tex]To convert yards to feet multiply by 3so[tex]L=120\ yd=120(3)=360\ ft[/tex][tex]W=\frac{160}{3}\ yd=\frac{160}{3}(3)=160\ ft[/tex]substitute[tex]A=(360)(160)=57,600\ ft^2[/tex]