b Identify the hypothesis and conclusion of the statement.
C
c Identify the hypothesis and conclusion of the statement.
A
a If a rectangle has a base x and height 2x, then it has an area of 2x^2.
B
b If a rectangle has a base x and height 3y, then it has a perimeter of 2x+6y.
C
c If a rectangle has a base 2 feet and height 3 feet, then it has an area of 864 square inches.
Practice makes perfect
a To rewrite the statement in if-then form, we have to identify the statement's hypothesis and conclusion. In the if-then form, the hypothesis comes after if and the conclusion comes after then.
Hypothesis:&If...
Conclusion:&then...
Let's identify the hypothesis and conclusion of the given statement.
The area of a rectangle with base x
and height 2x is 2x^2.
Now we can write the statement in if-then form.
If a rectangle has a base $x$ and a height $2x$,
then it has an area of $2x^2$.
b Like in Part A, we have to identify the hypothesis and conclusion of the statement.
The perimeter of a rectangle with basex
and height 3y is 2x+6y.
Now we can write the statement in if-then form.
If a rectangle has a base of $x$ and height $3y$,
then it has a perimeter of $2x+3y$.
c Like in Part A and Part B, we have to identify the hypothesis and conclusion of the statement.
A rectangle with base 2 feet and height 3 feet
has an area of 864 square inches.
Now we can write the statement in if-then form.
If a rectangle has base $2$ feet and height $3$ feet,
then it has an area of $864$ square inches.
