Question

Area of the polygon. Shape like an H with another middle of H sticking out on the right labeled 5 cm on top and 4 cm on the end. Left side is 16 cm bottom of H is 7 cm and middle of H is 6 cm

Answer 1

To find the area of the polygon, we need to divide it into simpler shapes. In this case, we can divide the polygon into a rectangle and two right triangles.

First, let's calculate the area of the rectangle:
Area of rectangle = length x width
Area of rectangle = 16 cm x 4 cm
Area of rectangle = 64 cm²

Next, let's calculate the area of the two right triangles:
Area of right triangle = 0.5 x base x height
Area of right triangle (top) = 0.5 x 4 cm x 5 cm
Area of right triangle (top) = 10 cm²

Area of right triangle (bottom) = 0.5 x 6 cm x 7 cm
Area of right triangle (bottom) = 21 cm²

Now, let's add the areas of the rectangle and the two right triangles to find the total area of the polygon:
Total area = 64 cm² + 10 cm² + 21 cm²
Total area = 95 cm²

Therefore, the area of the polygon is 95 cm².