The screenshot displays an online math quiz from a course titled “27.0210002 Math 6 B.”
The lesson topic is “Area of Polygons” within the unit “Area and Volume.”
The main content shows a pentagon with labeled side lengths:
Side 1: 3 units
Side 2: 1 unit
Side 3: 7.2 units
Side 4: 6 units
One side is not labeled.
The task instructs the student to “Find the area of the polygon” for one point.
The student would need to use the formula for finding the area of a pentagon, which involves dividing the shape into triangles and finding the area of each triangle. The student would then add up the areas of the triangles to find the total area of the pentagon.
you answer it
To find the area of the pentagon, we can divide it into three triangles.
We can use the formula for the area of a triangle, which is 1/2 * base * height.
Let's label the missing side of the pentagon as 'x'.
First Triangle:
Base = 3 units
Height = 7.2 units
Area = 1/2 * 3 * 7.2 = 10.8 square units
Second Triangle:
Base = 6 units
Height = 7.2 units
Area = 1/2 * 6 * 7.2 = 21.6 square units
Third Triangle:
Base = 6 units
Height = x
Area = 1/2 * 6 * x = 3x square units
To find the total area of the pentagon, we sum up the areas of the three triangles:
Total Area = 10.8 + 21.6 + 3x
So, the area of the polygon in square units would be represented as 10.8 + 21.6 + 3x square units, with ‘x’ representing the height of the third triangle.