Question

determine the contrapositive of the conditional statement: lengths of the sides of a rectangle are 6 inches and 4 inches, the area is 24 square inches

Answer 1

Can you form the converse?

Answer 2

Because the contrapositive is just the converse with both parts negated.

Answer 3

well the answers are either
a) if the lengths of the sides of a rectangle are not 6 inches and 4 inches then the area is not 24 square inches.
b) if the area is 24 square inches, the the lengths of the sides of a rectangle are not 6 inches and 4 inches.
c)if the area is not 24 square inches then the sides of a rectangle are not 6 and 4 inches
d)if the area is not 24 square inches, then the lengths of the sides of a rectangle are 6 inches and 4 inches

Answer 4

you have
--> p implies q
the contrapositive is
--> not q implies not p

Answer 5

what??

Answer 6

Statement: If p, then q.
Converse: If q, then p.
Inverse: If not p, then not q.
Contrapositive: If not q, then not p.

Statement: If (hypothesis), then (conclusion).
Converse: If (conclusion), then (hypothesis).
Inverse: If (not hypothesis), then (not conclusion).
Contrapositive: If (not conclusion), then (not hypothesis).

In your case the original statement is:
If the lengths of the sides of a rectangle are 6 inches and 4 inches, then the area is 24 square inches.
A statement is:
If (hypothesis), then (conclusion).

That means in your case:
hypothesis = the lengths of the sides of a rectangle are 6 inches and 4 inches
conclusion = the area is 24 square inches

For the contrapositive, you interchange the hypothesis and the conclusion, and you also negate both.