Question

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

Answer 1

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

Step-by-step explanation:

PART I: Find the area of the triangle

Given information

$Height=7~cm$

$Base=18~cm$

Given formula

$A=b\times h\times\dfrac{1}{2}$

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

Substitute values into the formula

$A=(7)\times (18)\times\dfrac{1}{2}$

Simplify by multiplication

$A=(7)\times 9$

$A=63~cm^2$

PART II: Find the area of the rectangle

Given information

$Height = 18~cm$

$Base=22~cm$

Given formula

$A=b\times h$

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

Substitute values into the formula

$A=(22)\times (18)$

Simplify by multiplication

$A=396~cm^2$

PART III: Find the area of the half-circle

Given information

Diameter = 18 cm

Given formula

$A=(\dfrac{d}{2} )^2\times \pi \div2$

$A=Area\\d=diameter$

Substitute values into the formula

$A=(\dfrac{18}{2} )^2\times (3.14) \div2$

Simplify the fraction

$A=(9 )^2\times (3.14) \div2$

Simplify the exponents

$A=81\times (3.14) \div2$

Simplify by multiplication

$A=254.34\div2$

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!! :)

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