Chapter 12.3, Problem 22IP

(a)

To determine

To find: Identify the name of given figure

Answer to Problem 22IP

Pentagon

Explanation of Solution

Given A figure is shown.

  

Given figure is five sided figure, so this is pentagon

(b)

To determine

To find: Write the formula which is used to find the area of given structure

Answer to Problem 22IP

Area of triangle and area of rectangle

Explanation of Solution

Given

  

We need to use the below formulas to find the area of given figure

  $\begin{array}{l}\text{area of rectangle=length×breadth}\\ \text{area of triangle=}\frac{\text{1}}{\text{2}}\text{×base×hight}\end{array}$

(c)

To determine

To find: Find total area of given figure

Answer to Problem 22IP

  $\text{159}{\text{.9cm}}^{\text{2}}$

Explanation of Solution

Given: All dimensions are given

  

Formula used:

  $\text{area of rectangle=l×b}$, $\text{area of triangle=}\frac{\text{1}}{\text{2}}\text{×b×h}$

Calculation:

= If sides are double:

Then:-

  $\begin{array}{l}{\text{area=(area)}}_{\text{1}}{\text{+(area)}}_{\text{2}}\\ \text{=4×16}\text{.4×7+}\frac{\text{1}}{\text{2}}\text{×4×16}\text{.4×5}\text{.5}\\ \text{=639}{\text{.6cm}}^{\text{2}}\end{array}$

If sides become double then total area become four times more.