Quiz
1. How do you find the area of a circle?
2. Find the area of a rectangular table top that is 12 feet long and 3 feet high.
3. Find the area of a triangle that has a base of 10 and a height of 10.
4. What is the equation to find the area of a trapezoid?
5. What is the area of a parallelogram with a base of 5" and a height of 7"?
6. Find the area of a square with the height of 9" and a base of 9"
7. How do you find the area of a polygon?
8. A pole casts a shadow at 10 feet. A person is 7ft tall casts a 5 foot shadow. Find the height of the pole.
Answer key
1. To find the area of a circle, you need to use the equation pi (which is 3.1415......) times the radius of the circle squared. So you would find the diameter of the circle, and divide that by two. That gives you the radius. After that, you times the radius b itself to get radius squared. You take the radius squared and multiply that by pi, and you get the area of a circle.
2. The area would be 120 feet squared. You take the base times the height, and for this problem, you would get 12x10 which equals 120.
3. When finding the area of a triangle, you multiply the base by the height, and then take the answer of that and divide it by two. So for our problem, you would multiply 10 by 10, which equals 100, and divide that by 2, which then gives you 50, which would be a final answer of 50 units squared (units because you were not given a specific unit.
4. The equation to find the area of a trapezoid is probably the most complicated at first. Since a trapezoid has two bases, you have to add them together, then multiply that by HALF of the height. it seems weird, but this is the simplest way for me.
5. The equation to find the area of a parallelogram is the same as the one for a square or rectangle which is base times height. Since the base is 5 inches and the height is 7 inches you would multiply those two together and end up getting 35 square inches.
6. In order to find the area of a square you multiply the base times height. So the base is 9 and the height is 9 so when you multiply the two you end up getting the area of 81 square inches.
7. To find the area of a polygon, you first have to find the perimeter, which is just on side length times however many sides there are. Then you take the apothem, which is halfway into the shape from any side, and divide that y two. So you multiply half of the apothem by the perimeter to find the area.
8. The answer is the 10ft shadowed pole is 14ft tall. The pole is 14 ft tall because in order to find the answer is to set up a proportion. It would be 10 over x equals 5 over 7. Then you cross multiply, and get 5x = 70. After that you divide 70 by 5, which gives you 14 feet.
Commented on Shayna and Lizzys blog.
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