Answer:
5. 37.065 square centimeters
6. 241 square centimeters
Explanation:
5. First, separate the figure into shapes you can find the areas of. This first figure can be represented by two rectangles and one quarter circle.
The two rectangles can be found using a = bh, or 5x3! Both of the rectangles' areas are equal to 30cm.
The circle's area can be found using a = pi(r^2). r stands for radius, which can be represented by 3cm. The area of a whole circle with a radius of 3 is 28.26 cm. Because it is a quarter circle, however, we can divide this value by four to get an area of 7.065cm.
If you add them all together, you get an area of 37.065.
6. First, separate the figure into shapes you recognize. This one can be separated into one triangle and one rhombus.
You can find the area of the triangle using the formula: a = 1/2bh. This gets you an area of 88cm.
The rhombus can be found using the formula: a = 1/2(b1+b2)h. Essentially, you find the average of the two bases and multiply it by the height! This gets you an area of 153cm.
Now, simply add the two areas together and you get an area of 241cm!