SOLUTION: At the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $? https://cdn.ple.platoweb.com/EdAssets/daafede9970

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Question 1001532: At the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $? https://cdn.ple.platoweb.com/EdAssets/daafede997084de398a149eb09a23f86?ts=635406320520770000
Answer by MathLover1(20849) About Me  (Show Source):
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At the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $?
first find the area of the given figure:
it consists of a rectangle, dimensions L+=4ft and W+=3ft=>A%5Br%5D=4ft%2A3ft=12ft%5E2
then, you have one half of the area of the circle that has diameter R=3ft=> radius will be r=1.5ft: the area of that half will be
the area of the given figure:
A=A%5Br%5D%2BA%5Bc%5D
A=12ft%5E2%2B3.5325ft%5E2
A=15.5325ft%5E2
At the rate of $2.00+per square foot, the cost will be:
$15.5325%2A2=31.07