2. The scale used in this restaurant plan is 1:100. The square grid paper used consists of 10mm by 10mm squares. Do you know what the actual length in cm is please.
1:100 = 1mm : 100mm = 1mm : 10cm
so, 10mm x 10mm = 100cm x 100cm
To determine the actual length in centimeters, you need to calculate the conversion factor from the scale used on the plan to the real-world measurements.
In a 1:100 scale, 1 unit on the plan represents 100 units in real life. Since the square grid on the plan consists of 10mm by 10mm squares, we need to convert these measurements to centimeters.
Since 1 centimeter is equal to 10 millimeters, each square on the plan represents 10 cm by 10 cm in real life.
Therefore, the actual length in centimeters is 10 cm.
To find the actual length in centimeters using the given scale and grid paper, follow these steps:
1. Determine the scale: In this case, the scale is 1:100. This means that 1 unit on the plan represents 100 units in reality.
2. Determine the length on the grid paper: Each square on the grid paper is 10mm by 10mm. This means that each square represents an area of 10mm x 10mm.
3. Convert millimeters to centimeters: Since the length is given in millimeters, we need to convert it to centimeters. 10mm is equal to 1cm.
4. Calculate the actual length in centimeters: Multiply the length on the grid paper by the conversion factor derived from the scale. In this case, each 10mm x 10mm square on the grid paper represents 1cm x 1cm in reality.
For example, if you measure a length of 20 squares on the grid paper, the actual length in centimeters would be (20 squares) x (1cm/1 square) = 20cm.
Hence, to find the actual length in centimeters, multiply the length measured on the grid paper by the conversion factor derived from the scale (1cm/1 square).