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Novosadov [1.4K]
4 years ago
5

Landon used a semicircle, a rectangle, and a right triangle, to form a figure below. Which is the best estimate of he area of th

e figure in square centimeters?

Mathematics
1 answer:
Ksivusya [100]4 years ago
5 0

Answer:

The best estimate of he area of the figure is 38.28\ cm^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a semicircle plus the area of rectangle plus the area of a right triangle

so

A=\frac{1}{2}\pi r^{2}+LW+\frac{1}{2}bh

we have

<em>Semicircle</em>

r=4/2=2\ cm ----> the radius is half the diameter

\pi=3.14

<em>Rectangle</em>

L=6\ cm

W=4\ cm

<em>Triangle</em>

b=10-6=4\ cm

h=4\ cm

substitute the values

A=\frac{1}{2}(3.14)(2)^{2}+(6)(4)+\frac{1}{2}(4)(4)

A=6.28+24+8=38.28\ cm^{2}

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