There are five rooms set inside a square shaped area. The rooms are arranged as follows. There are four equal sized rooms, each of which can be accessed through doors in the last square shaped room If it is given that these four rooms are of equal shape and size, what shape would they be? Assumptions 1: The entire square shaped area is used up by the rooms. 2 One room cannot be inside the other .
Answers
Answer:
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Solution:
Draw the required figure.
Observe that, the figure.
Understand that, the four equal-sized rooms will be in the shape of the trapezium, where, Room 1-4 are equal-sized rooms in the shape of the trapezium and the 5th room is in the shape of a square.
Room-1 EABF (trapezium)
Room-2 EADH (trapezium)
Room-3 HDCG (trapezium)
Room-4 GCBF (trapezium)
Room-5 EFGH (square)
Check whether assumption 1 is true or not.
Assumption 1: The entire square-shaped area is used up by the rooms.
Observe the given figure that the entire square-shaped area is used up by the rooms.
Therefore, Assumption 1 is true.
Check whether assumption 2 is true or not.
Assumptions 2: One room cannot be inside the other.
Observe that given figure that there are no rooms inside other all the rooms are side by side of each other.
Therefore, Assumption 2 is true.
