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3 years ago

Find area and round to nearest thousandth

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

Answer:

236.715 ft²

Step-by-step explanation:

The figure consists of the rectangle with sides 15 ft and 4 ft and two semicircles with diameter 15 ft (radius 7.5 ft).

The area of the rectangle is

A₁=15·4=60 ft²

The area of two semicircles together is the area of circle. Thus,

A₂=πr²=π·7.5²=56.25π≈176.715 ft²

The area of the figure is

A=A₁+A₂=60+176.715=236.715 ft²

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