Final Answer:
If the scale is 1:100, then the length of the front of the house is a) 100 times the original length.
Step-by-step explanation:
To determine the length of the front of the house based on the given scale, we must first understand what a scale of 1:100 means.
A scale of 1:100 indicates that one unit of length on the plan is equivalent to 100 units of the actual length. In other words, the scale tells us that the dimensions on the drawing have been reduced in such a way that every unit on the drawing represents 100 of those same units on the real object.
For example, if 1 cm is drawn on the plan to represent the front of the house, in reality, the front of the house would be 100 cm or 1 meter long. This proportional relationship applies to any measurement on the plan.
Given this explanation, we can determine the length of the front of the house in relation to the scale provided. If we take any length on the plan:
- According to option a), 100 times the original length means we multiply the length on the plan by 100 to get the actual length of the house. This is consistent with our understanding of a scale of 1:100.
- Option b) suggests the length on the plan is the same as the original length, which is not correct based on the scale of 1:100; it would only be correct for a scale of 1:1.
- Option c) says 1/100th of the original length, which would mean the actual length is smaller than the length on the plan, which contradicts the concept of a scale where the plan is a reduced depiction of the reality.
- Option d) suggests the actual length is 10 times the length on the plan. This would be true for a different scale of 1:10, not 1:100.
Therefore, the correct answer for the length of the front of the house based on a scale of 1:100 is:
a) 100 times the original length.