Question

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 1

`\begin{equation*} 10\text{ }in \end{equation*}`

Step-by-step 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:

`\begin{gathered} 1\text{ }in=10\text{ }yd \\ \\ x\text{ }in=100\text{ }yd \end{gathered}`

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

Therefore, cross-multiplying and solving for x:

`\begin{gathered} x*10=1*100 \\ \\ x=(100)/(10) \\ \\ x=10\text{ }in \end{gathered}`

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