How much does it cost to stain a wood deck

Asked by admin @ 29/10/2021 in Mathematics viewed by 295 People

Emma wants to stain a circular deck that has a diameter of 12 m. The cost of the wood stain is $3.25

per square meter.
To the nearest dollar, how much will it cost Emma to stain the entire deck?
Use 3.14 for

Answered by admin @ 29/10/2021

Answer:

$1469

Step-by-step explanation:

diameter of deck = 12 m

diameter = 2*radius

thus

12 m = 2*radius

radius = 12m / 2 = 6 m

area of circle is given by $\pi r^{2}$

where r is the radius

thus, area of given deck with radius = 12 m

$\pi r^{2} = 3.14*12^{2} \\=> 3.14*144 = 452.16$

Thus, area of given deck is 452.16 meter square

given

The cost of the wood stain is $3.25
per square meter

cost of 1 meter square wood stain = $3.25

since we have to find to stain the entire deck which has area 452.16 meter square , we multiply both side of equation by 452.16

cost of 452.16 meter square wood stain = $3.25*452.16 = $1469.25

Thus,

it will cost $1469 to the nearest dollar for Emma to stain the entire deck

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