Question

if p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4 , what could be true

Answer 1

Answer:

Step-by-step explanation:

I don't know the full question, or whether this had answer choices, but let's put this into a mental picture. (Found the answer choices online, should have added that, but alright.) It states that there's a rectangle and p is representing the dimensions to be doubled. You could stop there and draw a rectangle, nothing too fancy.

We know that a rectangle has 4 right angles, and 2 sides that match. A square with two longer sides. They're being doubled, so it'd be 2p. It's being increased by a factor of four. An area of a rectangle is BXH.

A. p → q represents the original conditional statement.  (True)

If you double the area of the rectangle, 2b*2h it would increase the area by a factor of 4. 2b*2h is 4bh, bh=area so it's just the area times 4 which makes it correct.

B. ~p → ~q represents the inverse of the original conditional statement.  (True)

This means that if. (Okay, I don't have time, but if you don't understand something comment on it.)

C. q → p represents the original conditional statement.  (False)

D. ~q → ~p represents the converse of the original conditional statement. p → ~q represents the contrapositive of the original conditional statement (False)