Question

Find the area of the figure below. Type below. 9) 8 in 21 in 28 in B

Answer 1

`Area_(figure)=789\text{ square inches}`

Step-by-step explanation

Step 1

to find the total area , we need to divide the figure in a rectangle plus harf circle

so, the area for a rectangle is given by:

`\text{Area}_(rec\tan gle)=length\cdot width`

and the area for a circle is

`\text{Area}_(circle)=\pi\cdot radius^2`

but, we need the area of a half circle ,so

`\text{Area}_{half\text{ circle}}=(Area_(circle))/(2)=\pi\cdot radius^2`

so, the toal area of th figure is

`Area_(figure)=Area_(rec\tan gle)+Area_{half\text{ circle}}\text{ }`
`\begin{gathered} Area_(figure)=length\cdot width+\pi\cdot radius^2 \\ \end{gathered}`

Step 2

Let

length= 28 in

width=21 in

radius = 8 in

replace and calculate

`\begin{gathered} Area_(figure)=length\cdot width+\pi\cdot radius^2 \\ Area_(figure)=(28\cdot21)+\pi\cdot8^2 \\ Area_(figure)=588+64\pi \\ Area_(figure)=789.06in^2 \\ \text{rounded} \\ Area_(figure)=789\text{ square inches} \end{gathered}`

I hope this helps you