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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 $ .

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savageenttiy

 
it consists of a rectangle, dimensions  L = 4ft and W = 3ft = Ar = 4ft x 3ft = 12 ft^2

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:

Ac = r^2 / 2
= (1.5 ft)^2 x 3.14 / 2
= 2.25 ft^2 x 3.4/2 
= 7.065 ft^2/ 2 
= 3.5325ft^2

A = Ar + Ac
A = 12ft^2 + 3.5325ft^2
A = 15.5325ft^2

At the rate of $2 per square foot, the cost will be: 
$ 15.5325*2 = 31.07  
lhmarianateixeira

The cost of painting the rectangular board with a semicircular top shown in the figure is 31.07 dolares.

How to calculeted the area of a rectangular?

To calculate the area of ​​the rectangle, just calculate the product of its base and its height, that is, the area is given by the formula A=b⋅h. In addition to the area, another important quantity is the perimeter. To calculate the perimeter of a rectangle, add its four sides.

it consists of a rectangle, dimensions:

[tex]L = 4ft \\W = 3ft = Ar = 4ft *3ft = 12 ft^2[/tex]

then, you have one half of the area of the circle that has diameter :

[tex]Ac = r^2 / 2\\= (1.5 ft)^2 * 3.14 / 2\\= 2.25 ft^2 * 3.4/2 \\= 7.065 ft^2/ 2 \\= 3.5325ft^2\\A = Ar + Ac\\A = 12ft^2 + 3.5325ft^2\\A = 15.5325ft^2[/tex]

The cost will be:

[tex]\$ 15.5325*2 = 31.07[/tex]

See more about finances at brainly.com/question/13607099

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