This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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QUESTION 3.1 3.1.1 • A bar scale is a visual representation of the scale, typically a line marked with distances, which remains accurate even if the map or plan is enlarged or reduced. • A number scale (or ratio scale) is expressed as a ratio (e.g., 1:50) or a fraction, indicating that one unit on the plan represents a certain number of the same units in reality. It becomes inaccurate if the map or plan is resized. 3.1.2 The scale 1:50 means that 1 unit of measurement on the plan represents 50 of the same units in actual size. For example, 1 cm on the plan corresponds to an actual length of 50 cm. 3.1.3 Step 1: Determine the actual length using the scale. Plan length of teacher's desk = 6 cm Scale = 1:50 Actual length = Plan length × Scale factor Actual length = 6 cm × 50 = 300 cm Step 2: Convert the actual length from centimeters to meters. Since 1 meter = 100 centimeters: Actual length in meters = 300 cm100 cm/m = 3 m The actual length of the desk is 3 m. 3.1.4 Step 1: Determine the actual distance using the scale. Distance between learners' desks on the plan = 4 cm Scale = 1:50 Actual distance = Plan distance × Scale factor Actual distance = 4 cm × 50 = 200 cm Step 2: Convert the actual distance from centimeters to meters. Since 1 meter = 100 centimeters: Actual distance in meters = 200 cm100 cm/m = 2 m The actual distance between the desks is 2 m. 3 done, 2 left today. You're making progress.