To solve the problem, let's analyze the given conditions step-by-step.
1. Area of a Parallelogram:
The area of a parallelogram is given by the product of its base and its height. So, if "base" is [tex]\(b\)[/tex] and "height" is [tex]\(h\)[/tex], the formula for the area is:
[tex]\[
\text{Area}_{\text{parallelogram}} = b \times h
\][/tex]
Therefore, the appropriate word to fill in the first blank is "product."
2. Area of a Circle:
The area of a circle is given by the product of [tex]\(\pi\)[/tex] (pi) and the square of its radius ([tex]\(r\)[/tex]). The formula for the area of a circle is:
[tex]\[
\text{Area}_{\text{circle}} = \pi r^2
\][/tex]
This can also be rewritten as the product of [tex]\(\pi r\)[/tex] and [tex]\(r\)[/tex], but more generally, the standard given formula is [tex]\(\pi r^2\)[/tex]. Thus, the appropriate word to fill in the second blank is also "product."
Considering these steps:
- The first blank should be filled with "product".
- The second blank should be filled with "product".
Given the multiple-choice options:
A. product, product
B. quotient, quotient
C. difference, difference
D. sum, sum
The correct choice is:
A. product, product
Therefore, inserting the words in the blanks, we get the following statement:
"Because the area of a parallelogram is equal to the product of the base and the height, the area is the product of [tex]\(\pi r\)[/tex] and [tex]\(r\)[/tex], or [tex]\(\pi r^2\)[/tex]. Therefore, the area of a circle is given by the formula [tex]\(\pi r^2\)[/tex]."
