To find the area of a polygon, we need to know the length of its base and its height. Once we have these measurements, we can use the formula:
Area = (1/2) x Base x Height
where "Base" refers to the length of the base of the polygon, and "Height" refers to the length of a perpendicular line drawn from the base to the opposite vertex.
Using this formula, we can find the areas of the polygons with the given measurements:
For the first polygon with base b=6 ft and height h=9 ft, we have:
Area = (1/2) x 6 ft x 9 ft = 27 ft^2
For the second polygon with base b=10 cm and height h=8 m, we need to convert the height to centimeters to keep the units consistent:
Height = 8 m x 100 cm/m = 800 cm
Then, we can calculate the area as:
Area = (1/2) x 10 cm x 800 cm = 4000 cm^2
For the third polygon with base b=8 m and height h=8 m, we have:
Area = (1/2) x 8 m x 8 m = 32 m^2
For the fourth polygon with base b=9 m and height h=5 m, we have:
Area = (1/2) x 9 m x 5 m = 22.5 m^2
Therefore, the areas of the polygons are:
- 27 ft^2
- 4000 cm^2
- 32 m^2
- 22.5 m^2