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Mekhanik [1.2K]
3 years ago
12

Find the area of the figure to the nearest thousandth. Use 3.14 for π.

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

The area of the figure is 236.625\ ft^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of rectangle plus the area of semicircle

so

The area of the figure is equal to the area of a circle plus the area of rectangle

A=\pi r^{2}+bD

we have

r=15/2=7.5\ ft ----> the radius is half the diameter

D=15\ ft

b=4\ ft

substitute the values

A=(3.14)(7.5^{2})+4*(15)=236.625\ ft^{2}

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So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.

The multiples of 12 are:

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We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.

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