Mathematics
: asked on victoriazh2005

29.05.2022

Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. 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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09.07.2023, solved by verified expert

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Answer:

The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

Step-by-step

How to find the area of the composite figures?

To find area of the composite figures,

Separate the figure.

Calculate the are of the each figure by which the composite figure is made of.

Add the area of all the individual figures to get the total area of composite figures.

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

The radius of the semicircle is 1.5 m. The area of the semicircle is,

The area of the composite figure is,

The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,

Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

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