A football field is 100 yards long and 53 1/2 yards wide. Lewis always uses a scale drawing of 1 inch to 10 yards for his drawings. What is the length of the football field in the scale drawing?

Answer :

ANSWER

[tex]\begin{equation*} 10\text{ }in \end{equation*}[/tex]

EXPLANATION

The scale used for the drawing is 1 inch to 10 yards. This implies that 1 inch on the drawing is equal to 10 yards on the actual field.

Therefore, we can write the proportion:

[tex]\begin{gathered} 1\text{ }in=10\text{ }yd \\ \\ x\text{ }in=100\text{ }yd \end{gathered}[/tex]

where x represents the length of the field on the scale drawing.

Therefore, cross-multiplying and solving for x:

[tex]\begin{gathered} x*10=1*100 \\ \\ x=\frac{100}{10} \\ \\ x=10\text{ }in \end{gathered}[/tex]

That is the length of the football field in the scale drawing.