Answer:
A = 37.1 square cm
Step-by-step explanation:
Composite Figures
The image shows a figure that can be seen as a composition of three regular shapes: two identical rectangles and a quarter of a circle.
The area of a rectangle of dimensions W and L is:
Ar = WL
And the area of a circle of radius r is:
[tex]Ac =\pi r^2[/tex]
A quarter of a circle has an area of:
[tex]\displaystyle A_q =\frac{\pi r^2}{4}[/tex]
The rectangles have dimensions of 5 cm by 3 cm, thus the area is:
Ar = 5 cm * 3 cm = 15 square cm
The quarter of a circle has a radius of r=3 cm, its area is:
[tex]\displaystyle A_q =\frac{\pi 3^2}{4}[/tex]
Calculating:
[tex]\displaystyle A_q =7.07\text{ square cm}[/tex]
The total area is twice the area of each rectangle plus the area of the quarter of a circle:
A = 2*15 + 7.07
A = 37.07 square cm
To the nearest tenth:
A = 37.1 square cm
