Computing Actual Areas from a Scale Drawing

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?

• 87 km

• 216 km 

• 33 km

• 192 km

The windows in the drawing are 1¾ cm apart, how many meters apart are the actual windows if the scale is 2 cm=10 m?

• 8¾ m

• 7½ m

• 5 m

• 2¼ m

__________: A ratio between the measurements of the drawing and of the actual object.

• scale drawing

• constant of proportionality

• scale

• unit rate

A house plan is drawn with the scale of 1:400. The length and the width of living room on the plan are 5cm and 4cm respectively. If the living room is shape of a rectangle, what is the actual area, in m², of the living room?

• 20

• 320

• 200 000

• 3 200 000

The actual area of a square garden is 400m². If the garden is drawn using the scale of 1:500, calculate the area, in cm², of the drawing.

• 4

• 8

• 16

• 20

The actual length of a river is 2km. If the river is drawn on a map scale 1:40 000, find the length, in cm, of the river on the map.

The diagram shows a combination of a rectangle JKMN and a triangle KML. If the measurement of the scale drawing of KL is 6.5cm, what is the scale for the drawing?

• 1 : 2

• 1 : 20

• 1 : 200

The diagram is redrawn using the scale of 1:200. Calculate the length of AB, in cm, of the drawing.

• 2.5

• 3

• 5

• 6