Question

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

Answer 1

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

Semicircle

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

$\pi=3.14$

Rectangle

$L=6\ cm$

$W=4\ cm$

Triangle

$b=10-6=4\ cm$

$h=4\ cm$

substitute the values

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

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