



 
Hi Elias, Here is a sketch of the football field. The distance from $R$ to $P$ is $D$ meters. Triangle $PQR$ is a right triangle so by Pythagoras Theorem \[D^2 = 160^2 + q20^2 \mbox{square meters.}\] Solve for $D.$ I'm not sure if this is what you want. I think you want to calculate the distance on the scale drawing, so here is my scale drawing. Each 20 meter section of the distance from $P$ to $Q$ on the field is represented by a 1 centimeter along the side from $P'$ to $Q"$ on the scale drawing. What is the distance from $P'$ to $Q'$ in centimeters? What is the distance from $Q'$ to $R'$ on the scale drawing? Use Pythagoras theorem to calculate the distance from $R'$ to $P'?$ As a check on your answer you can use the scale factor to convert the value you found for $D$ into the distance from $R'$ to $P'$ using the scale factor. I hope this helps, 



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