Question

- What is the area of the figure below? Use 3.14
for T.
7 cm
22 cm
18 cm

Answer 1

Answer:
`\Large\boxed{Total~area=586.17~cm^2}`

Explanation:

PART I: Find the area of the triangle

Given information

`Height=7~cm`

`Base=18~cm`

Given formula

`A=b* h*(1)/(2)`

`A=Area\\b=base\\h=height\\`

Substitute values into the formula

`A=(7)* (18)*(1)/(2)`

Simplify by multiplication

`A=(7)* 9`

`A=63~cm^2`

PART II: Find the area of the rectangle

Given information

`Height = 18~cm`

`Base=22~cm`

Given formula

`A=b* h`

`A=Area\\b=base\\h=height\\`

Substitute values into the formula

`A=(22)* (18)`

Simplify by multiplication

`A=396~cm^2`

PART III: Find the area of the half-circle

Given information

Diameter = 18 cm

Given formula

`A=((d)/(2) )^2* \pi /2`

`A=Area\\d=diameter`

Substitute values into the formula

`A=((18)/(2) )^2* (3.14) /2`

Simplify the fraction

`A=(9 )^2* (3.14) /2`

Simplify the exponents

`A=81* (3.14) /2`

Simplify by multiplication

`A=254.34/2`

Simplify by division

`A=127.17~cm^2`

PART IV: Find the total area

Given formula

`Total~area=Triangle+Rectangle+circle~(half)`

Substitute values into the formula

`Total~area=(63)+(396)+(127.17)`

Simplify by addition

`Total~area=459+(127.17)`

`\Large\boxed{Total~area=586.17~cm^2}`

Hope this helps!! :)

Please let me know if you have any questions