Read the statement.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.
p → q represents the original conditional statement.
~p → ~q represents the inverse of the original conditional statement.
q → p represents the original conditional statement.
~q → ~p represents the converse of the original conditional statement.
p → ~q represents the contrapositive of the original conditional statement.
Answers
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Answer:
- P → q represents the original conditional statement.
- p → q represents the contrapositive of the original conditional statement.
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The correct statement is p → q represents the original conditional statement.
Given:
The statement - Doubling the dimensions of a rectangle increases the area by a factor of 4.
To Find:
Which are the true statements among given options
Solution:
Let the length of the rectangle be = l
Let the breadth of the rectangle be = b
Therefore, the area of the rectangle will be = l × b
If the dimensions of the rectangle are doubled, then the new area rectangle will be
=2l × 2b
=4 (l × b)
= 4 times the area of a rectangle.
Therefore,
If dimensions increased by double then the area increases by a factor of 4.
Answer: The correct statement is p → q represents the original conditional statement.
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