Chapter SH, Problem 11.9.3EP

To determine

Calculate the area of given figure.

Answer to Problem 11.9.3EP

Area of given figure is $30.56y{d}^2$

Explanation of Solution

Given:

  

Calculations:

Here, we have to calculate the area of rectangle.

Firstly, we will calculate area of upper rectangle. Here, length of rectangle is 4.8+3.2=8.0 yd

  $\begin{array}{l}Areaofupperrec\tan gle=length\times width\\ =8\times 2.1\\ =16.8y{d}^2\end{array}$

Now, area of lower rectangle is,

Here, width of rectangle is 6.4-2.1=4.3 yd

  $\begin{array}{l}Areaoflowerrec\tan gle=length\times width\\ =4.3\times 3.2\\ =13.76y{d}^2\end{array}$

Now,

  $\begin{array}{l}Totalareaoffigure=Areaofupperrec\tan gle+Areaoflowerrec\tan gle\\ =16.8+13.76\\ =30.56y{d}^2\end{array}$

Conclusion:

Therefore, we are able to find the area of given figure.