help with area of rectangle

[jayjay12]

Let "p" represent "the area of rectangle ABCD is 50 square inches." Let "q" represent "The perimeter of rectangle ABCD is 30 inches." Let "r" represent " The length of rectanlge ABCD is twice the width."

Suppose rectangle ABCD is 12.5 inches long and 4 inches wide. What is he truth value of the conditional p --> r?

My answer is: The area is 50 in^2. Hence, P is true. But the length is not twice the width. Hence, q is false.

So, the true value of p --> q

Is this correct or incorrect. And if it is incorrrect mya some one please tell me where I went wrong.

Thank you for the help.

 

[pka]

Let "p" represent "the area of rectangle ABCD is 50 square inches." Let "q" represent "The perimeter of rectangle ABCD is 30 inches." Let "r" represent " The length of rectanlge ABCD is twice the width."
Suppose rectangle ABCD is 12.5 inches long and 4 inches wide.
What is he truth value of the conditional p --> r?

I don’t think that you really understand what is being asked.
The question is: “What is the truth value of the conditional p --> r?”
It has truth value of false! Because \(\displaystyle T \to F\) is false.