Chapter 11.1, Problem 15PPS

To determine

To calculate: To find the perimeter and area of parallelogram.

Answer to Problem 15PPS

The area and perimeter of parallelogram is $1520m^2$ and $174.40m$ respectively.

Explanation of Solution

Given information: The given figure in question.

Calculation:

For the area of parallelogram, $\begin{array}{l}\text{Area = base }\times \text{ height}\\ \text{Area}=40\times 38\\ \text{Area}=1520m^2\end{array}$

Use the Pythagoras theorem to calculate the length of parallelogram,

  $\begin{array}{l}{a}^2+b^2=c^2\\ {28}^2+{38}^2=c^2\\ 784+1444=c^2\\ 2228=c^2\\ \sqrt{2228}=c\\ 47.20m=c\end{array}$

Now, for the perimeter of parallelogram,

  $\begin{array}{l}\text{Perimeter = 2 }\times \text{( length + breath)}\\ \text{Perimeter}=2\times (40+47.20)\\ \text{Perimeter}=2\times (87.20)\\ \text{Perimeter}=174.40m\end{array}$