Determine measurements from scale drawings (e.g. maps and building plans) to solve problems.

A surveyor uses a scale drawing of a proposed shopping centre. The scale is 1 cm : 45 m. On the drawing, the distance from the main entrance to the loading bay is 8.2 cm. Determine the actual distance from the main entrance to the loading bay.

An architect's floor plan of a residential apartment uses a scale of $1 : 200$. On the plan, the lounge room measures $8.5 \text{ cm}$ by $6.2 \text{ cm}$. Determine the actual dimensions of the lounge room in metres, correct to 1 decimal place.

An architect has prepared a scale drawing of a residential block of land. The scale used is $1 \text{ cm} : 5 \text{ m}$. On the drawing, the length of the property boundary along the street is measured as $8.6 \text{ cm}$, and the depth of the property (perpendicular to the street) is $6.4 \text{ cm}$. (a) Determine the actual length of the property boundary along the street, in metres. (b) Determine the actual depth of the property, in metres. (c) Hence, determine the actual area of the property, in square metres.