What is the area of a hexagon all angles are right angles top 18 in side 20 in other side hook 12 in and side hook 6 in
also what is the perimeter?
To find the area of a hexagon, we need to know the lengths of the sides or the lengths of some of the sides and additional information about the hexagon. In this case, since you mentioned that all angles are right angles, it means that the hexagon is not a regular hexagon.
The hexagon you described can be divided into three rectangles and two triangles. We can calculate the area of each shape and then sum them up to find the total area of the hexagon.
1) The first rectangle has a length of 18 inches and a width of 20 inches. The area of a rectangle is calculated by multiplying the length and width, so the area of this rectangle is 18 * 20 = 360 square inches.
2) The second rectangle has a length of 12 inches and a width of 6 inches. Its area is calculated the same way: 12 * 6 = 72 square inches.
3) The third rectangle also has a length of 12 inches and a width of 6 inches, so its area is also 72 square inches.
4) Now let's calculate the areas of the triangles. The first triangle has a base of 18 inches and a height of 20 inches. The area of a triangle is calculated by multiplying half the base by the height, so the area of this triangle is (1/2) * 18 * 20 = 180 square inches.
5) The second triangle has a base of 20 inches and a height of 12 inches. Its area is calculated the same way: (1/2) * 20 * 12 = 120 square inches.
Finally, summing up the areas of all the shapes, we get: 360 + 72 + 72 + 180 + 120 = 804 square inches.
To find the perimeter of the hexagon, we add up the lengths of all the sides. From the information given, two sides are 20 inches long, one side is 18 inches long, and three sides are 12 inches long. Adding them together, we get 20 + 20 + 18 + 12 + 12 + 12 = 94 inches.
Therefore, the area of the hexagon is 804 square inches, and the perimeter is 94 inches.