Answer:
1 of 5) D, 2 of 5) B, 3 of 5) D, 4 of 5) A, 5 of 5) D
Explanation:
1 of 5) The composite area is the sum of the areas of two rectangles. That is:
[tex]A = (4\,cm)\cdot (3\,cm) + (6\,cm)\cdot (2\,cm)[/tex]
[tex]A = 12\,cm^{2}+12\,cm^{2}[/tex]
[tex]A = 24\,cm^{2}[/tex]
The area of the shaded region is 24 square centimeters. (Answer: D)
2 of 5) The composite area is the sum of the areas of the rectangle and the triangle. That is:
[tex]A = (8\,cm)\cdot (5\,cm)+\frac{1}{2}\cdot (5\,cm)\cdot (5\,cm)[/tex]
[tex]A = 40\,cm^{2} + 12.5\,cm^{2}[/tex]
[tex]A = 52.5\,cm^{2}[/tex]
The area of the shaded region is 52.5 square centimeters. (Answer: B)
3 of 5) The composite area is the sum of the areas of the rectangle and the triangle. That is:
[tex]A = (10\,cm)\cdot (4\,cm)+ \frac{1}{2}\cdot (7\,cm)\cdot (6\,cm)[/tex]
[tex]A = 40\,cm^{2}+21\,cm^{2}[/tex]
[tex]A = 61\,cm^{2}[/tex]
The area of the shaded region is 61 square centimeters. (Answer: D)
4 of 5) The composite area is the sum of the areas of four triangles and two rectangles. That is:
[tex]A = 4\cdot \frac{1}{2}\cdot (1\,m)\cdot (2\,m) + (8\,m)\cdot (4\,m)+(3\m)\cdot (1\,m)[/tex]
[tex]A = 4\,m^{2}+32\,m^{2}+3\,m^{2}[/tex]
[tex]A = 39\,m^{2}[/tex]
The area of the shaded region is 39 square meters. (Answers: A)
5 of 5) The composite area is the sum of the areas of the three semicircles and the square. That is:
[tex]A =3\cdot \frac{\pi}{8}\cdot (10\,cm)^{2}+ (10\,cm)^{2}[/tex]
[tex]A = 117.810\,cm^{2}+100\,cm^{2}[/tex]
[tex]A = 217.810\,cm^{2}[/tex]
The area of the shaded region is 217.810 square centimeters. (Answer: D)
