it's an irregular hexagon. the base of the hexagon is 12m, the length of one side is 9m, the length of the other sides are 5m, and 4m, the width of the other sides are 7m and 5m
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And the question is .... ?
it's an irregular hexagon. the base of the hexagon is 12m, the length of one side is 9m, the length of the other sides are 5m, and 4m, the width of the other sides are 7m and 5m
Maria -- you still haven't asked a question.
What do you want us to do?
To find the area of an irregular hexagon, we need to know the lengths of all its sides or the lengths of its base and the height. In this case, we have the lengths of various sides of the hexagon.
To calculate the area of an irregular hexagon, we can divide it into smaller shapes whose areas can be calculated separately. In this case, we can divide the hexagon into a rectangle and two triangles.
Let's calculate the area of the hexagon step by step:
1. Divide the hexagon into a rectangle and two triangles:
- Draw a line parallel to the base (12m) such that it passes through the vertex opposite to the base. This will divide the hexagon into a rectangle and two triangles.
2. Calculate the area of the rectangle:
- The length of the rectangle is the base (12m).
- The width of the rectangle can be determined by subtracting the sum of the widths of the two sides (5m and 7m) from the total width (9m). So, the width of the rectangle is (9m - 5m - 7m = -3m).
- Since a negative width doesn't make sense, we can take the absolute value (|-3m| = 3m).
- The area of the rectangle can be calculated by multiplying the length and width: Area_rectangle = Length × Width.
3. Calculate the area of the two triangles:
- One of the triangles has a base of 5m and a height of 3m (or 4m if we take the width of 7m as its height).
- The other triangle has a base of 5m and a height of 7m (or 4m if we take the width of 5m as its height).
- The formula to calculate the area of a triangle is: Area_triangle = (Base × Height) / 2.
4. Add up the areas of the rectangle and the two triangles to get the total area of the hexagon.
By following these steps, you should be able to calculate the area of the irregular hexagon with the given measurements.