Chapter 11.1, Problem 19PPS

To determine

To calculate: The area of the given parallelogram.

Answer to Problem 19PPS

The area of the given parallelogram is $A=338.4c{m}^2$ .

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

  $\begin{array}{c}b=33.5cm\\ \\ \tan {45}^{\circ }=\frac{h}{10.1}\\ h=10.1\left(\tan {45}^{\circ }\right)\\ =10.1\left(1\right)=10.1cm\end{array}$

The area of the given parallelogram is

  $\begin{array}{c}A=b\times h\\ =33.5\times 10.1\\ A=338.35c{m}^2\\ A=338.4c{m}^2\end{array}$

Therefore the area of the given parallelogram is $A=338.4c{m}^2$ .