Chapter 11.1, Problem 42STP

To determine

To identify: The correct answer, for the area of the given parallelogram.

Answer to Problem 42STP

The correct answer is C: $A=32uni{t}^2$ .

Explanation of Solution

Given information: The parallelogram is given below.

  

Formula used:

The area of a parallelogram is given by

  $\begin{array}{l}A=b\times h\\ b\text{is}\text{the}\text{base}\text{of}\text{the}\text{parallelogram}\text{.}\\ h\text{is}\text{the}\text{height}\text{.}\end{array}$

Calculation:

From the given information it can be observed that

  $\begin{array}{l}\text{The}\text{base}\text{of}\text{the}\text{parallelogram}\text{is}\\ b=OP=8unit\end{array}$

  $\begin{array}{l}\text{The}\text{height}\text{of}\text{the}\text{parallelogram}\text{is}\\ b=SR=4unit\end{array}$

The area of the given parallelogram is

  $\begin{array}{c}A=b\times h\\ =8\times 4\\ A=32uni{t}^2\end{array}$

Therefore the area of the given parallelogram is $A=32uni{t}^2$ .

The correct answer is C: $A=32uni{t}^2$ .