Question

American football is played on a$\mathbf{100}\mathbf{-}\mathbf{yd}$long field, excluding the end zones. How long is the field in meters? (Assume that$\mathbf{1}\mathbf{}\mathbf{meter}$equals $\mathbf{3}\mathbf{.}\mathbf{281}\mathbf{}\mathbf{feet}$.)

Short answer

The length of the football field is 91 m .

Step-by-step solution

State given data

Length of American football field = 100 yards.

State useful conversions

The conversion relation of yard and feet is

$\mathbf{1}\mathbf{}\mathbf{yard}\mathbf{=}\mathbf{3}\mathbf{}\mathbf{feet}$

The conversion relation of meter and feet is

$\mathbf{1}\mathbf{}\mathbf{m}\mathbf{=}\mathbf{3}\mathbf{.}\mathbf{281}\mathbf{}\mathbf{feet}$

So,

1 foot = 0.304 m.

Calculate length of football field in meters

The conversion relation of yard and meter is,-

$$\begin{gathered} 1\mathrm{yard}=3\mathrm{feet} \\ =3\times 0.304\mathrm{m} \\ =0.91\mathrm{m} \end{gathered}$$

Therefore, the length of the football is,-

$$\begin{gathered} 100\mathrm{yard}=\left(100\mathrm{yard}\right)\times \frac{0.91\mathrm{m}}{1\mathrm{yard}} \\ =91\mathrm{m} \end{gathered}$$

Hence, the length of the football field is 91 m.