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?
Accepted Solution
A:
Answer:The best estimate of he area of the figure is [tex]38.28\ cm^{2}[/tex]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 triangleso[tex]A=\frac{1}{2}\pi r^{2}+LW+\frac{1}{2}bh[/tex]we haveSemicircle[tex]r=4/2=2\ cm[/tex] ----> the radius is half the diameter[tex]\pi=3.14[/tex]Rectangle[tex]L=6\ cm[/tex][tex]W=4\ cm[/tex]Triangle[tex]b=10-6=4\ cm[/tex][tex]h=4\ cm[/tex]substitute the values[tex]A=\frac{1}{2}(3.14)(2)^{2}+(6)(4)+\frac{1}{2}(4)(4)[/tex][tex]A=6.28+24+8=38.28\ cm^{2}[/tex]